Question

What is the volume of a hemisphere with a diameter of 8 ft, rounded to the nearest

Answer 1

We have to find the volume of the hemisphere whose diameter is given, and we have to round off to nearest tenth of a cubic foot.

GiveN:

• Diameter of Hemisphere = 8 ft

The formula for finding the volume of hemisphere is given by:

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

Here, r is the radius of Hemisphere.

We have,

⇛ Diameter of hemisphere = 8 ft

⇛ Radius of hemisphere = Diameter / 2

⇛ Radius of the Hemisphere = 8 ft /2 = 4 ft

Finding volume,

$v = \dfrac{2}{3} \times \dfrac{22}{7} \times {4}^{3} \: {ft}^{3}$

$v = \dfrac{2}{3} \times \dfrac{22}{7} \times 64 \: {ft}^{3}$

$v = \dfrac{2816}{21} {ft}^{3}$

$v \approx \: 134.09 \: {ft}^{3}$

Rounding off to nearest tenth:

$\large{ \boxed{ \bf{ \red{134.1 \: {ft}^{3} }}}}$

And we are done !!

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Answer 2

Answer:

The answer is

134 ft³

Step-by-step explanation:

Volume of a hemisphere is given by

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

where

r is the radius of the hemisphere

From the question

diameter = 8 ft

radius = 8/2 = 4 ft

Substitute the value into the above formula and solve

$V = \frac{2}{3} ( {4})^{3} \pi \\ = \frac{2}{3} \times 64\pi8 \\ = \frac{128\pi}{3} \: \: \: \: \: \: \: \\ = 134.0412$

We have the final answer as

134.0 ft³ to the nearest tenth

Hope this helps you