Miscellaneous Mensuration (Simple) | Learn Mathematics Online

Miscellaneous Mensuration (Simple)

Study Material (PDF)

Study Material (PDF)

Click on each question to see answer & solution.

Question No: #11

In a cylinder, if radius is doubled and height is halved, curved surface area will be -
(a) same, (b) doubled, (c) halved, (d) four times

Ans:

Question No: #12

If the radius of a right circular cylinder is decreased by 50% and the height is increased by 50% to form a new cylinder, then calculate the percentage of change of its curved surface area and volume.

Ans: volume: `62 1/2%` decrease

Question No: #13

If the area of any intersection perpendicular to the length of a right circular cylinder of height 20 cm is 300 sq.cm, what is the volume of the cylinder?

Ans: 6000 cubic cm

Question No: #14

Two right circular cylinders of equal volume have their heights in the ratio `1:2`. The ratio of their radii is -
(a) `1:2`, (b) `2:1`, (c) `1:\sqrt{2}`, (d) `\sqrt{2}:1`

Ans: (d) `\sqrt{2}:1`

Question No: #15

If the ratio of radii of two right circular cylinders is `2:3` and the ratio of their heights is `5:3`, then find the ratio of their volumes.

Ans: `20:27`

Question No: #16

Height of a right circular cylinder is twice of its radius. If the height would be 6 times of its radius, then the volume of the cylinder would be greater by 539 cubic cm. Calculate the height of the cylinder.

Ans: 7 cm.

Question No: #17

The curved surface area of a right circular cylindrical pillar is 264 `m^2` and its volume is 924 `m^3`. Find the diameter and the height of the pillar.

Ans: 14 m, 6 m

Question No: #18

Find the total surface area of an open pipe of length 50 cm, external diameter 20 cm and internal diameter 6 cm.

Ans: 4657.71 sq. cm.

Question No: #19

Height of a hollow right circular cylinder, open at both ends, is 35 cm. If the lengths of outer and inner diameter of the cylinder are 12 cm and 10 cm respectively, then calculate how much iron is required to made up this cylinder.

Ans: 1210 c.c.

Question No: #20

If a 105 cm long tube light of outer circumference 11 cm is made of glass of thickness 0.2 cm, then how many cubic centimetres of glass will be needed to make 5 such tube lights?

Ans: 1089 c.c.