Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Surface Areas and Volumes

Short Answer Type

151. The circumference of the base of a cylindrical vessel is 132 cm and its height is 25 cm. How many litres of water can it hold? (1000 cm³ = 1l)

312 Views

152. The inner diameter of a cylindrical wooden pipe is 24 cm and its outer diameter is 28 cm. The length of the pipe is 35 cm. Find the mass of the pipe, if 1 cm³of wood has a mass of 0.6 g.

160 Views

153.

The inner diameter of a cylindrical wooden pipe is 24 cm and its outer diameter is 28 cm. The length of the pipe is 35 cm. Find the mass of the pipe, if 1 cm3 of wood has a mass of 0.6 g

122 Views

154.
If the lateral surface of a cylinder is 94.2 cm² and its height is 5 cm, then find (i) radius of its base (ii) its volume. (Use $straight pi$ = 3.14)

(i) Let the radius of the base of the cylinder be r cm.

h = 5 cm
Lateral surface = 94.2 cm²

rightwards double arrow space space space space space space space space space space space 2 πrh space equals space 94.2

rightwards double arrow

2 x 3.14 x r x 5 = 94.2

rightwards double arrow space space space space space space space space space space space space space space space space space space space space space space straight r equals fraction numerator 94.2 over denominator 2 cross times 3.14 cross times 5 end fraction rightwards double arrow space space space space space space space space space space space space space space space space space space space space space space straight r space equals fraction numerator 94.2 over denominator 31.4 end fraction rightwards double arrow space space space space space space space space space space space space space space space space space space space space space space straight r space equals space 3 space cm

Hence, the radius of the base is 3 cm.
(ii) r = 3 cm h = 5 cm
∴ Volume of the cylinder = πr²h
= 3.14 x (3)²x 5 = 141.3 cm³.

337 Views

155.

It costs र 2200 to paint the inner curved surface of a cylindrical vessel 10 m deep. If the cost of painting is at the rate of र 20 per m², find
(i) inner curved surface area of the vessel,
(ii) radius of the base,
(iii) capacity of the vessel.

121 Views

156. The capacity of a closed cylindrical vessel of height 1 m is 15.4 litres. How many square metres of metal sheet would be needed to make it?

378 Views

157. A lead pencil consists of a cylinder of wood with a solid cylinder of graphite filled in the interior. The diameter of the pencil is 7 mm and the diameter of the graphite is 1 mm. If the length of the pencil is 14 cm, find the volume of the wood and that of the graphite.

530 Views

158.

A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm, how much soup the hospital has to prepare daily to serve 250 patients?

206 Views

159. The volume of a cylinder is 448π cm³ and height 7 cm. Find its lateral surface area and total surface area.

3174 Views

160. The diameter of the base of a right circular cylinder is 28 cm and its height is 21 cm. Find its (i) curved surface area (ii) total surface area and (iii) volume.

377 Views

Previous Year Papers

Test Series

Test Yourself

Short Answer Type

154. If the lateral surface of a cylinder is 94.2 cm2 and its height is 5 cm, then find (i) radius of its base (ii) its volume. (Use = 3.14)

154.
If the lateral surface of a cylinder is 94.2 cm² and its height is 5 cm, then find (i) radius of its base (ii) its volume. (Use $straight pi$ = 3.14)