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What is the volume of a hemisphere with a diameter of 8 ft, rounded to the nearest
tenth of a cubic foot?

Respuesta :

Stephen46

Answer:

The answer is

134 ft³

Step-by-step explanation:

Volume of a hemisphere is given by

[tex]V = \frac{2}{3} \pi {r}^{3} [/tex]

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

[tex]V = \frac{2}{3} ( {4})^{3} \pi \\ = \frac{2}{3} \times 64\pi8 \\ = \frac{128\pi}{3} \: \: \: \: \: \: \: \\ = 134.0412[/tex]

We have the final answer as

134.0 ft³ to the nearest tenth

Hope this helps you

FadedElla

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:

[tex]v = \dfrac{2}{3} \pi {r}^{3} [/tex]

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,

[tex]v = \dfrac{2}{3} \times \dfrac{22}{7} \times {4}^{3} \: {ft}^{3} [/tex]

[tex]v = \dfrac{2}{3} \times \dfrac{22}{7} \times 64 \: {ft}^{3} [/tex]

[tex]v = \dfrac{2816}{21} {ft}^{3} [/tex]

[tex]v \approx \: 134.09 \: {ft}^{3} [/tex]

Rounding off to nearest tenth:

[tex] \large{ \boxed{ \bf{ \red{134.1 \: {ft}^{3} }}}}[/tex]

And we are done !!

#CarryOnLearning...

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