CBSE Class 10 Mathematics Surface Area and Volume Assignment Set 05

Question. The volume of a cylinder is \( 448\pi\text{ cm}^3 \) and height is \( 7\text{ cm} \). Its C.S.A is
(a) \( 352\text{ cm}^2 \)
(b) \( 325\text{ cm}^2 \)
(c) \( 532\text{ cm}^2 \)
(d) \( 525\text{ cm}^2 \)
Answer: (a) \( 352\text{ cm}^2 \)

Question. The radius and height of a cylinder are in the ratio \( 5:7 \) and its volume is \( 550\text{ cm}^3 \). The radius of cylinder is
(a) \( 10\text{ cm} \)
(b) \( 5\text{ cm} \)
(c) \( 15\text{ cm} \)
(d) \( 20\text{ cm} \)
Answer: (b) \( 5\text{ cm} \)

Question. The radius and vertical height of a cone are \( 5\text{ cm} \) and \( 12\text{ cm} \) respectively. The C.S.A of cone is
(a) \( 204\text{ cm}^2 \)
(b) \( 204.01\text{ cm}^2 \)
(c) \( 204.3\text{ cm}^2 \)
(d) \( 204.012\text{ cm}^2 \)
Answer: (c) \( 204.3\text{ cm}^2 \)

Question. The base radii of two right circular cones of the same height are in the ratio \( 3:5 \). The ratio of their volumes is
(a) \( 25:9 \)
(b) \( 5:12 \)
(c) \( 12:5 \)
(d) \( 9:25 \)
Answer: (d) \( 9:25 \)

Question. Volume of a frustum of a cone is
(a) \( \frac{1}{3}\pi h (r_1^2 + r_2^2 + r_1 r_2) \)
(b) \( \frac{1}{3}\pi (r_1^2 + r_2^2 + r_1 r_2) \)
(c) \( \frac{1}{3}\pi (r_1^2 - r_2^2 + r_1 r_2) \)
Answer: (a) \( \frac{1}{3}\pi h (r_1^2 + r_2^2 + r_1 r_2) \)

Question. T.S.A. of a Sphere is \( 3850\text{ cm}^2 \). The diameter of the sphere is
(a) \( 30\text{ cm} \)
(b) \( 35\text{ cm} \)
(c) \( 40\text{ cm}^2 \)
(d) \( 45\text{ cm}^2 \)
Answer: (b) \( 35\text{ cm} \)

Question. The largest Sphere is carved out of a Cube of side \( 7\text{ cm} \) has the radius equal to
(a) \( 7\text{ cm} \)
(b) \( 14\text{ cm} \)
(c) \( 3.5\text{ cm} \)
(d) \( 2.5\text{ cm} \)
Answer: (c) \( 3.5\text{ cm} \)

Question. Spherical ball of diameter \( 21\text{ cm} \) is melted and recasted into cubes, each of side \( 1\text{ cm} \). The number of cubes are
(a) \( 4800 \)
(b) \( 4823 \)
(c) \( 4850 \)
(d) \( 4851 \)
Answer: (d) \( 4851 \)

Question. The S.A. of a sphere is \( 154\text{ cm}^2 \). The volume of sphere is
(a) \( 179.67\text{ cm}^3 \)
(b) \( 178.76\text{ cm}^3 \)
(c) \( 169.76\text{ cm}^3 \)
(d) \( 791.79\text{ cm}^3 \)
Answer: (a) \( 179.67\text{ cm}^3 \)

Question. The volume of a sphere is \( 905\frac{1}{7}\text{ cm}^3 \). The radius of the sphere is
(a) \( 8\text{ cm} \)
(b) \( 6\text{ cm} \)
(c) \( 4\text{ cm} \)
(d) \( 10\text{ cm} \)
Answer: (b) \( 6\text{ cm} \)