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

161. A hollow cylindrical copper pipe is 21 dm long. Its outer and inner diameters are 10 cm and 6 cm respectively. Find the volume of copper used in making the pipe.

1778 Views

162.
A powder tin has a square base with side 8 cm and height 13 cm. Another is cylindrical with the radius of its base 7 cm and its height 15 cm.

Find the difference in their capacities. $open parentheses Use space straight pi space equals 22 over 7 close parentheses$

For a powder tin with a square base
Side of the square base = 8 cm Height = 13 cm
∴ Volume (v₁) = 8 x 8 x 13 = 832 cm³ For a cylindrical powder tin
Radius of the base (r) = 7 cm Height (h) =15 cm
∴ Volume (v₂) = $straight pi$ r²h

$equals 22 over 7 cross times left parenthesis 7 right parenthesis squared cross times 15 equals 2310 space cm cubed$
∴ Difference in their capacities = v₂ – v₁ = 2310 – 832 = 1478 cm³.

681 Views

163. Coins of same size are placed one above the other and a cylindrical solid block is formed. The volume of this block is 49.28 cm³. Diameter of each coin is 2.8 cm and thickness 0.2 cm. Find the number of coins arranged in the block.

open parentheses straight pi equals 22 over 7 close parentheses

354 Views

164. The area of the base of a right circular cylinder is 15400 cm² and its volume is 92400 cm³. Find the height of the cylinder and also find curved surface of the cylinder.

493 Views

165.

A square piece of paper of side 22 cm is rolled to form a cylinder. Find the volume of the cylinder.

$open parentheses Take space straight pi space equals 22 over 7 close parentheses$

96 Views

166. A cylindrical container of base radius 28 cm contains sufficient water to submerge a rectangular block of iron with dimensions 32 cm x 22 cm x 14 cm. Find the rise in the level of water, when the block is completely submerged.

132 Views

167. A river 4 m deep and 60 m wide is flowing at the rate of 0.31 km/hour. How much water will fall into the sea in a minute?

105 Views

168. A rectangular piece of paper is 22 cm long and 12 cm wide. A cylinder is formed by rolling the paper along its length. Find the volume of the cylinder.

open parentheses Use space straight pi equals 22 over 7 close parentheses

1070 Views

169. A well with 10 m inside diameter is long 14 m deep. Earth taken out of it is spread all around it to a width of 5 m to form an embankment. Find the height of the embankment.

117 Views

170. What is the mass of a metallic hollow cylindrical pipe 24 cm long with internal diameter 10 cm and made up of metal 5 mm thick. Density of the metal is 7 g per cm³.

358 Views

Previous Year Papers

Test Series

Test Yourself

Short Answer Type

162. A powder tin has a square base with side 8 cm and height 13 cm. Another is cylindrical with the radius of its base 7 cm and its height 15 cm. Find the difference in their capacities.

162.
A powder tin has a square base with side 8 cm and height 13 cm. Another is cylindrical with the radius of its base 7 cm and its height 15 cm.

Find the difference in their capacities. $open parentheses Use space straight pi space equals 22 over 7 close parentheses$