What is the volume of a hemisphere with a radius of 8 in, rounded to the nearest tenth of a cubic inch? Answer: in ^(3)

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What is the volume of a hemisphere with a radius of 8 in, rounded to the nearest tenth of a cubic inch? Answer: in  ^(3)

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Recall Sphere Volume Formula: Recall the formula for the volume of a sphere. The volume of a sphere is given by the formula $ V = \frac{4}{3}\pi r^3 $, where $ r $ is the radius of the sphere. Since a hemisphere is half of a sphere, we will need to divide the volume of a sphere by 2 to get the volume of a hemisphere.Calculate Full Sphere Volume: Calculate the volume of a full sphere with the given radius. Using the radius $ r = 8 $ inches, we substitute into the formula for the volume of a sphere: $ V_{sphere} = \frac{4}{3}\pi (8)^3 $ $ V_{sphere} = \frac{4}{3}\pi (512) $ $ V_{sphere} = \frac{4}{3} \times 512 \times \pi $ $ V_{sphere} = 2048 \times \pi $Calculate Hemisphere Volume: Calculate the volume of the hemisphere. Since the hemisphere is half of the sphere, we divide the volume of the sphere by 2: $ V_{hemisphere} = \frac{V_{sphere}}{2} $ $ V_{hemisphere} = \frac{2048 \times \pi}{2} $ $ V_{hemisphere} = 1024 \times \pi $Evaluate Hemisphere Volume: Evaluate the volume of the hemisphere and round to the nearest tenth. $ V_{hemisphere} = 1024 \times \pi $ Using the approximation $ \pi \approx 3.1416 $, we get: $ V_{hemisphere} \approx 1024 \times 3.1416 $ $ V_{hemisphere} \approx 3216.9984 $ cubic inches Now, round to the nearest tenth: $ V_{hemisphere} \approx 3217.0 $ cubic inches

What is the volume of a hemisphere with a radius of $8$ $\text{in}$ , rounded to the nearest tenth of a cubic inch? $\newline$ Answer: $\text{in}$ $^{3}$

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What is the volume of a hemisphere with a radius of 888 in\text{in}in, rounded to the nearest tenth of a cubic inch?\newlineAnswer: in\text{in}in 3 ^{3} 3

What is the volume of a hemisphere with a radius of $8$ $\text{in}$ , rounded to the nearest tenth of a cubic inch? $\newline$ Answer: $\text{in}$ $^{3}$