Direction: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:
(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of
Assertion (A).
(c) Assertion (A) is true but Reason (R) is false.
(d) Assertion (A) is false but Reason (R) is true
1.) Assertion: The radius of the top and bottom of a bucket of slant height 35 cm are 25 cm and 8 cm. The curved surface of the bucket is 3630 sq.cm.
Reason: Curved surface of bucket = π(R1 + R2) x slant height (l)
a) Both Assertion and Reason are correct and reason is correct explanation for the.
b) Both Assertion and Reason are false but reason is not correct explanation for assertion.
c) Assertion is correct but reason is false.
d)Both Assertion and reason are false.
Ans: a) both assertion and reason are correct and reason is correct explanation for assertion.
2.) Assertion: If we join two hemispheres of same radius along their bases, then we get a sphere.
Reason: A tank is made of the shape of a cylinder with a hemispherical depression at one end. The height of the cylinder is 1.45 m and radius is 30 cm. The total surface area of the tank is 3.3 m
a) Both Assertion and Reason are correct and reason is correct explanation for the.
b) Both Assertion and Reason are false but reason is not correct explanation for assertion.
c) Assertion is correct but reason is false.
d) Both Assertion and reason are false.
Ans: b) both assertion and reason are correct but reason is not correct explanation for assertion
3.) Assertion: Two identical solid cubes of side a are joined end to end. Then the total surface area of the resulting cuboid is 10a^2
reason: The total surface area of a cube having side a = 6a2
a) Both Assertion and Reason are correct and reason is correct explanation for the.
b) Both Assertion and Reason are false but reason is not correct explanation for assertion.
c) Assertion is correct but reason is false.
d) Both Assertion and reason are false.
Ans: a) both assertion and reason are correct and reason is correct explanation for assertion.
4.) Assertion: Number of spherical ball that can be made out of a solid cube lead whose edge is 44cm each ball being 4 cm in diameter is 2541
Reason: Number of balls = ( volume of one ball )/( volume of lead)
a) Both Assertion and Reason are correct and reason is correct explanation for the.
b) Both Assertion and Reason are false but reason is not correct explanation for assertion.
c) Assertion is correct but reason is false.
d) Both Assertion and reason are false.
Ans: c) assertion is true but reason is false.
5.) Assertion: The volume of two sphere are in the ratio 27: 8 then yes surface area in the ratio 3:2 .
Reason: Volume of sphere=4/3 pie r^3 and it’s surface area 4 pie r^4
a) Both Assertion and Reason are correct and reason is correct explanation for the.
b) Both Assertion and Reason are false but reason is not correct explanation for assertion.
c) Assertion is correct but reason is false.
d) Both Assertion and reason are false.
Ans: d) both assertion and reason are false.
6.) Assertion: The number of solid sphere of diameter 6 cm can be made by a melting a solid metallic cylinder of height 45 cm and diameter 4 cm is 5 .
Reason: if three solid metallic spherical balls of radius 3,4,5 cm are melted into single spherical ball then its radius is 6 cm.
a) Both Assertion and Reason are correct and reason is correct explanation for the.
b) Both Assertion and Reason are false but reason is not correct explanation for assertion.
c) Assertion is correct but reason is false.
d) Both Assertion and reason are false.
Ans: b) both assertion and reason are correct but reason is correct explanation for assertion.
7.) Assertion: if three cubes of Iron whose edges are 3cm,4cm, and 5cm are melted and formed into a single cube then the edge of single cube is 6 cm.
Reason: 12 solid spheres of same size are made by melting a solid metallic cone of base radius 1 cm and height of 48cm then the radius of each sphere is 2 cm.
a) Both Assertion and Reason are correct and reason is correct explanation for the.
b) Both Assertion and Reason are false but reason is not correct explanation for assertion.
c) Assertion is correct but reason is false.
d) Both Assertion and reason are false.
Ans: c) assertion is correct but reason is false.
8.) Assertion: If a solid sphere of radius r is melted snd recast into the shape of right circular cylinder of radius 0.5 cm then the height of cylinder is 8 cm.
Reason: if a metallic sphere of total volume n is melted and recast into the shape of right circular cylinder of radius 0.5 cm then the height of cylinder is 8 cm .
a) Both Assertion and Reason are correct and reason is correct explanation for the.
b) Both Assertion and Reason are false but reason is not correct explanation for assertion.
c) Assertion is correct but reason is false.
d) Both Assertion and reason are false.
Ans: c) assertion is correct but reason is false.
9.) Assertion: Savitri had to make a model of a cylindrical kaleidoscope for her science project. She wanted to use chart paper to make the curved surface of the kaleidoscope. 550cm^2 would be the area of chart paper required by her, if she wantedto make a kaleidoscope of length 25 cm with a 3.5 cm radius.
Reason: Area of chart paper required = curved surface area of the kaleidoscope= 2πrh
a) Both Assertion and Reason are correct and reason is correct explanation for the.
b) Both Assertion and Reason are false but reason is not correct explanation for assertion.
c) Assertion is correct but reason is false.
d) Both Assertion and reason are false.
Ans: a) both assertion and reason are correct and reason is correct explanation for assertion.
10.) Assertion: if we have a cuboid whose length, breadth and height are 15 cm,10 cm and 20 cm respectively, then its surface area would be 1300 cm^2.
Reason: surface area of cuboid = 2(lb+bh+lh)
a) Both Assertion and Reason are correct and reason is correct explanation for the.
b) Both Assertion and Reason are false but reason is not correct explanation for assertion.
c) Assertion is correct but reason is false.
d) Both Assertion and reason are false.
Ans: a) both assertion and reason are correct and reason is correct explanation for assertion.
11.) Assertion: The curved surface area of a right circular cone whose slant height
is 10 cm and base radius is 7 cm.
Reason: Curved surface area = pie *r*l
a) Both Assertion and Reason are correct and reason is correct explanation for the.
b) Both Assertion and Reason are false but reason is not correct explanation for assertion.
c) Assertion is correct but reason is false.
d) Both Assertion and reason are false.
Ans: a) both assertion and reason are correct and reason is correct explanation for assertion.
12.)Assertion: The height of a cone is 16 cm and its base radius is 12 cm. The
curved surface area and the total surface area of the cone is 753.6cm^2,1205.76cm^2
Reason: Curved surface area of cone = 2*pie*r*l and total surface area of cone = pie*r*l+pie *r^3
a) Both Assertion and Reason are correct and reason is correct explanation for the.
b) Both Assertion and Reason are false but reason is not correct explanation for assertion.
c) Assertion is correct but reason is false.
d) Both Assertion and reason are false.
Ans: c) assertion is correct but reason is false.
13.) Assertion: : A shot-putt is a metallic sphere of radius 4.9 cm. If the density of the metal is 7.8 g per cm3 the mass of the shot-put 3.85 kg.
Reason: volume of the sphere = (4/3)πr^3
a) Both Assertion and Reason are correct and reason is correct explanation for the.
b) Both Assertion and Reason are false but reason is not correct explanation for assertion.
c) Assertion is correct but reason is false.
d) Both Assertion and reason are false.
Ans: a) both assertion and reason are correct and reason is correct explanation for assertion.
14.) Assertion: The lateral surface area of a right circular cone of height 28 cm and base radius 21 cm(in sq. cm) is2310 cm^2.
Reason: Lateral surface area = πrl^2.
a) Both Assertion and Reason are correct and reason is correct explanation for the.
b) Both Assertion and Reason are false but reason is not correct explanation for assertion.
c) Assertion is correct but reason is false.
d) Both Assertion and reason are false.
Ans: c) assertion is correct but reason is false.
15.) Assertion: A piece of cloth is required to completely cover a solid object. The solid object is composed of a hemisphere and a cone surmounted on it. If the common radius is 7 m and height of the cone is 1 m, 463.39cm^2 is the area of cloth required.
Reason: Surface area of hemisphere = 2πr^2
a) Both Assertion and Reason are correct and reason is correct explanation for the.
b) Both Assertion and Reason are false but reason is not correct explanation for assertion.
c) Assertion is correct but reason is false.
d) Both Assertion and reason are false
Ans: a) both assertion and reason are correct and reason is correct explanation for assertion.
16.) Assertion: Radius 6cm, height 7cm then the volume of right circular cone is 264cm^3.
Reason: Volume of a right circular cone = 1/3 πr^2h
a) Both Assertion and Reason are correct and reason is correct explanation for the.
b) Both Assertion and Reason are false but reason is not correct explanation for assertion.
c) Assertion is correct but reason is false.
d) Both Assertion and reason are false
Ans: a) both assertion and reason are correct and reason is correct explanation for assertion.
17.) Assertion: The height of a cone is 15 cm. If its volume is 500π cm3, then 10 cm the radius of its base.
Reason: volume of hemisphere = 2/3*pier^3
a) Both Assertion and Reason are correct and reason is correct explanation for the.
b) Both Assertion and Reason are false but reason is not correct explanation for assertion.
c) Assertion is correct but reason is false.
d) Both Assertion and reason are false
Ans: b) both assertion and reason are correct but reason is not correct explanation for assertion.
18.) Assertion: Total Surface area of the top is the sum of the curved surface area of the hemisphere and the curved surface area of the
cone.
Reason: Top is obtained by fixing the plane surfaces of the hemisphere and cone together.
a) Both Assertion and Reason are correct and reason is correct explanation for the.
b) Both Assertion and Reason are false but reason is not correct explanation for assertion.
c) Assertion is correct but reason is false.
d) Both Assertion and reason are false
Ans. (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A)
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