Question

What is the volume of a hemisphere with a diameter of 47.5 m, rounded to the nearest tenth of a cubic meter?

Answer 1

Answer:

28043.3 $m^{3}$

Step-by-step explanation:

Formula for volume of a hemisphere can be termed as:

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

where $r$ is the radius of hemisphere

Please refer to the figure attached for the sample figure of a hemisphere.

We are given here, diameter of hemisphere = 47.5 m

Relation between diameter and radius is given as :

$r = \dfrac{d}{2}$

where, $r$ is the radius and

$d$ is the diameter.

So, $r = \dfrac{47.5}{2}\ m$

Volume is:

$V = \dfrac{2}{3} \pi (\dfrac{47.5}{2})^3\\\Rightarrow \dfrac{2}{3} \times 3.14 \times (\dfrac{47.5}{2})^3\\\Rightarrow 28043.3\ m^3$

Hence, volume of given hemisphere is 28043.3 $m^{3}$.