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From a solid cube of side 7 cm, a conical cavity of height 7 cm and radius 3 cm is hollowed out. Find the volume of the remaining solid

Solution:

Given, a solid cube of side 7 cm

A conical cavity of 7 cm height and 3 cm radius is hollowed out from the cube.

We have to find the volume of the remaining solid.

Volume of cube = (Side)³

= (7)³

= 343 cm³

Volume of cone = (1/3)πr²h

Given, r = 3 cm

h = 7 cm

Volume of cone = (1/3)(22/7)(3)²(7)

= (22)3

= 66 cm³

Volume of the remaining solid = volume of cube - volume of cone

= 343 - 66

= 277 cm³

Therefore, the volume of the remaining solid is 277 cm³

✦ Try This: From a solid cube of side 9 cm, a conical cavity of height 9 cm and radius 6 cm is hollowed out. Find the volume of the remaining solid.

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 13

NCERT Exemplar Class 10 Maths Exercise 12.3 Problem 6

From a solid cube of side 7 cm, a conical cavity of height 7 cm and radius 3 cm is hollowed out. Find the volume of the remaining solid

Summary:

From a solid cube of side 7 cm, a conical cavity of height 7 cm and radius 3 cm is hollowed out. The volume of the remaining solid is 277 cm³

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