Question: Find the ratio of the curved surfaces of two cylinders of same heights if their radii are in the ratio 1:2.

• 1. 1:2
• 2. 2:1
• 3. 1:4
• 4. 4:1

Question: Two cylinders are of the same height. Their radii are in the ratio 1: 3. If the volume of the first cylinder is 40 cc. Find the volume of the second cylinder?

• 1. 360 cc
• 2. 60 cc
• 3. 300 cc
• 4. 36 cc

Question: Find the expenditure on digging a well 14m deep and of 3m diameter at Rs.15 per cubic meter?

• 1. Rs.1185
• 2. Rs.1285
• 3. Rs.1385
• 4. Rs.1485

Question: The radius of a cylindrical vessel is 7cm and height is 3cm. Find the whole surface of the cylinder?

• 1. 308 sq cm
• 2. 220 sq cm
• 3. 440 sq cm
• 4. 132 sq cm

Question: The diameter of a cylindrical tin is 6cm and height is 5 cm. Find the volume of the cylinder?

• 1. 30 π cc
• 2. 45 π cc
• 3. 150 π cc
• 4. 180 π cc

Question: The spherical ball of lead 3 cm in diameter is melted and recast into 3 spherical balls. The diameters of two of these are 1 ½ cm and 2 cm respectively. The diameter of third ball is?

• 1. 2.66 cm
• 2. 2.5 cm
• 3. 3 cm
• 4. 3.5 cm

Question: If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in cm2) is________?

• 1. 100π
• 2. 7π
• 3. 60π
• 4. 50π

Question: The areas of the two spheres are in the ratio 1: 4. The ratio of their volume is?

• 1. 1:4
• 2. 1:16
• 3. 1:8
• 4. 1:64

Question: The volumes of two cubes are in the ratio 27: 125, what shall be the ratio of their surface areas?

• 1. 6:25
• 2. 3:5
• 3. 9:25
• 4. 16:25

Question: What is the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high?

• 1. 10 cm
• 2. 12 cm
• 3. 15 cm
• 4. 13 cm