|

Mathematics

A largest sphere is to be carved out of a right circular cylinder of radius 7 cm and height 14 cm. Find the volume of the sphere.
(Answer correct to the nearest integer)

Mensuration

13 Likes

Answer

Radius of largest sphere from a right circular cylinder will be equal to radius of circular cylinder = 7 cm.

Volume of sphere = $\dfrac{4}{3}πr^3$

$= \dfrac{4}{3} \times \dfrac{22}{7} \times 7^3 \\[1em] = \dfrac{4}{3} \times 22 \times 7^2 \\[1em] = 1437 \text{ m}^3.$

Hence, volume of sphere = 1437 m³.

Answered By

6 Likes

Related Questions

Water in a canal 6 m wide and 2 m deep, is flowing with the speed of 18 km/h.
Statement (1): The volume of water that flows through the canal in 20 minutes = 6 x 2 x $\Big(18 \times \dfrac{5}{18}\Big)$ x 20 x 60 m³.
Statement (2): The volume of water that flows through the canal = 6 x 2 x 18 x 20 m³.
Both the statement are true.
Both the statement are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
View Answer