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: #111

If the sum of the radii of two spheres is 21 cm and the volume ratio is `64:27`, what will be their radii?

Ans: 12 cm, 9 cm

Question No: #112

If the ratio of the areas of the curved surfaces of two hemispheres is `4:9`, then the ratio of the lengths of their radii will be ..........

Ans: `2:3`

Question No: #113

If the volume of a solid hemisphere is `144\pi` cubic cm, what is the length of its diameter?

Ans: 12 cm

Question No: #114

If the total surface area of a hemishere be `36\pi` sq. cm, them its radius will be .......... cm.

Ans: `2\sqrt{3}`

Question No: #115

How much metal sheet is needed to make a hemispherical vessel with a lid of 14 cm diameter?

Ans: 462 sq.cm.

Question No: #116

How much brass sheet is required to make a hemispherical bowl of diameter 14 cm?

Ans: 308 sq.cm.

Question No: #117

A hemispherical bowl made of 1 cm thick copper sheet has outer diameter 10 cm. How much will it cost to polish the entire surface of the bowl at Rs 1.50 per sq cm?

Ans: Rs 428.82

Question No: #118

If 5544 sq. cm. of leather is required to make a football, then radius of the football will be .......... cm.

Ans: 21 cm

Question No: #119

If the length of the radius of a solid sphere is doubled, the volume of the sphere will be ........ times the previous volume.

Ans: 8

Question No: #120

If the diameter of a sphere increases by 10%, then by what percentage will its volume increase?

Ans: 33.1%