# Volume and surface area Questions and answers

Topics

11). If each side of a cube is decreased by 19%, then decrease in surface area is
 A). 40% B). 38.40% C). 35% D). 34.39%
12). The diameter of the base of a right circular cylinder is 14 cm, while its length is 40 cm. Find the total surface area of the cylinder.
 A). 2068 sq cm B). 1825 sq cm C). 1925 sq crn D). 2160 sq cm
13). If the lateral surface area of a cylinder is 94.2 sq cm and its height is 5 cm, then find the radius of its base. (n = 3.14)
 A). 5 cm B). 8 cm C). 3 cm D). 4cm
14). A rod of 2 cm diameter and 30 cm length is converted into a wire of 3 in length of uniform thickness. The diameter of the wire is
 A). $$\Large \frac{2}{10}$$ cm B). $$\Large \frac{2}{\sqrt{10}}$$ cm C). $$\Large \frac{1}{\sqrt{10}}$$ cm D). $$\Large \frac{1}{10}$$ cm
15). What is the height of a solid cylinder of radius 5 cm and total surface area is 660 sq cm?
 A). 10 cm B). 12 cm C). 15 cm D). 16 cm

16). What will be the curved surface area of a right circular cylinder having length 160 cm and radius of the base is 7 cm?
 A). 6020 sq cm B). 5052 sq cm C). 7045 sq cm D). 7040 sq cm
17). The ratio of the radii of two cylinders is 2 : 3 and the ratio of their heights is 5 : 3. The ratio of their volumes will be
 A). 4 : 9 B). 9 : 4 C). 20 : 27 D). 27 : 20
18). If the radius of a cylinder is increased by 25% and its height remains unchanged. then find the per cent increase in volume.
 A). 56.25% B). 52.25% C). 50.40% D). 60.26%
19). A cylindrical pillar is 50 cm in diameter and 3.5 m in height. Find the cost of painting the curved surface of the piller at the rate of Rs.10 per sq m.
 A). Rs.50 B). Rs.68 C). Rs.98 D). Rs.55
20). A piller 14 cm in diameter is 5 m high. How much material was used to construct it?
 A). $$\Large (77 \times 10^{2}) cm^{3}$$ B). $$\Large (77 \times 10^{4}) cm^{3}$$ C). $$\Large (77 \times 10^{5}) cm^{3}$$ D). $$\Large (77 \times 10^{3}) cm^{3}$$
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