Question

Can someone please help me? Thank you so much! ^^

The volume of a hemisphere is 56cm³. Calculate the radius of hesmiphere in cm.

A. 3
B. 4.5
C. 1.5
D. 6​

Answer 1

$\text{Volume of hemisphere} = \dfrac 23 \pi \times r^3\\\\\implies 56 = \dfrac{2 \pi}3} \times r^3\\\\\implies 56 \times 3 = 2 \pi r^3\\\\\implies r^3 = \dfrac{168}{2 \pi} \\\\\implies r =\sqrt[3]{\dfrac{168}{2\pi}} = 2.99 \approx 3~ cm$