Question

The volume of a hemisphere, V, is given by the formula V = = V 2437 where S is the total surface area. The total surface area of a given hemisphere is 350 cm. Calculate the volume of this hemisphere in cm. Give your answer correct to one decimal place. cubic cm (no answer)​

Answer 1

Answer:

$V = 473.9cm^3$

Step-by-step explanation:

Given

$V = \sqrt{\frac{4s^3}{243\pi}}$

Required

Find V, when s = 350

Substitute 350 for s in

$V = \sqrt{\frac{4s^3}{243\pi}}$

$V = \sqrt{\frac{4 * 350^3}{243\pi}}$

$V = \sqrt{\frac{171500000}{243\pi}}$

Take: $\pi = \frac{22}{7}$

So, we have:

$V = \sqrt{\frac{171500000}{243 * \frac{22}{7}}}$

$V = \sqrt{\frac{171500000*7}{243 * 22}}$

$V = \sqrt{\frac{1200500000}{5346}}$

$V = \sqrt{224560.419005}$

$V = 473.878063435$

$V = 473.9cm^3$ --- approximated