A hollow metal sphere has external radius 10 cm and the metal is 3 cm thick everywhere. Find the volume of metal in it in cm³, leaving your answer in terms of π.

Question

Accepted Answer

876π. The internal radius = 10 − 3 = 7 cm. Volume of metal = (4/3)π(10³ − 7³) = (4/3)π(1000 − 343) = (4/3)π × 657 = 876π cm³. (Leaving out the factor 4/3 would wrongly give 657π.)

A hollow metal sphere has external radius 10 cm and the metal is 3 cm thick everywhere. Find the volume of metal in it in $cm^{3}$ , leaving your answer in terms of π.

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A hollow metal sphere has external radius 10 cm and the metal is 3 cm thick everywhere. Find the volume of metal in it in cm3, leaving your answer in terms of π.

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Areas & Volumes practice

A hollow metal sphere has external radius 10 cm and the metal is 3 cm thick everywhere. Find the volume of metal in it in $cm^{3}$ , leaving your answer in terms of π.