Question

What is the radius of a hemisphere with a volume of 60,750π cm3?

Answer 1

The radius of the hemisphere is 45 cm

Explanation:

Given:

Volume of the hemisphere, V = 60750π cm³

Radius of the hemisphere, r = ?

We know:

Volume of hemisphere = $\frac{2\pi r^3 }{3}$

$60750\pi = \frac{2\pi r^3 }{3} \\\\r^3 = 91125\\\\r = 45$

Therefore, the radius of the hemisphere is 45 cm

Answer 2

The radius of the hemisphere is 45 cm

The volume of a hemisphere is given by the formula

$V = \frac{2}{3} \pi r^{3}$

Where V is the volume

and r is the radius

From the question,

V = 60750π cm³

Putting this into the formula,

We get

$60750\pi = \frac{2}{3}\pi r^{3}$

∴ $r^{3}= \frac{60750\pi \times 3}{2\pi}$

$r^{3}= 91125$

∴ $r =\sqrt[3]{91125}$

r = 45 cm

Hence, the radius of the hemisphere is 45 cm

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