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: #101

Fill in the blanks.
(i) The number of plane surfaces of a solid hemisphere are ..........
(ii) The number of surfaces of a solid hemisphere are ..........

Ans: (i) 1, (ii) 2

Question No: #102

If a certain hemisphere of radius `r` is completely immersed in water, the volume of water displaced by it will be .......... cubic units.

Ans: `2/3 \pi r^3`

Question No: #103

If the volume of a hemisphere is `v`, then its radius .........

Ans: $ \sqrt[3]{\frac{3v}{2\pi}}$

Question No: #104

If the curved surface area of a solid sphere is `s` and the volume is `v`, then what is the value of `\frac{s^3}{v^2}`?

Ans: `36\pi`

Question No: #105

If numerical value of curved surface area of a solid sphere is three times of its volume, then find the length of radius.

Ans: 1 unit

Question No: #106

If the numerical value of volume and total surface area of a solid hemisphere are equal, then find the diameter of this hemisphere.

Ans: 9 unit

Question No: #107

The diameter of a hemisphere is double to the diameter of a sphere. The ratio of the volumes of sphere and hemisphere is -
(a) `1:4`, (b) `1:8`, (c) `1:6`, (d) `1:9`

Ans: (a) `1:4`

Question No: #108

If the ratio of volumes of two spheres is `1:8`, then the ratio of their surface area is-
(a) `1:2`, (b) `1:4`, (c) `1:8`, (d) `1:16`

Ans: b) `1:4`

Question No: #109

Total surface area of a solid hemisphere of radius 7 cm is -
(a) `588\pi` sq.cm., (b) `392\pi` sq.cm., (c) `147\pi` sq.cm., (d) `98\pi` sq.cm.

Ans:

Question No: #110

If the ratio of the surface areas of two spheres is `1:4`, find the ratio of their volumes.

Ans: `1:8`