Questions: The radius, R, of a sphere is 7.5 cm. Calculate the sphere's volume, V. Use the value 3.14 for π, and round your answer to the nearest tenth. (Do not round any intermediate computations.)

The radius, R, of a sphere is 7.5 cm. Calculate the sphere's volume, V. Use the value 3.14 for π, and round your answer to the nearest tenth. (Do not round any intermediate computations.)
Transcript text: The radius, $R$, of a sphere is 7.5 cm . Calculate the sphere's volume, $V$. Use the value 3.14 for $\pi$, and round your answer to the nearest tenth. (Do not round any intermediate computations.)
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Solution

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Solution Steps

Step 1: 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.

Step 2: Substitute the given values

We are given that $R = 7.5$ cm and $\pi = 3.14$. Substituting these values into the formula, we get: $V = \frac{4}{3} \times 3.14 \times (7.5)^3$

Step 3: Calculate the volume

$V = \frac{4}{3} \times 3.14 \times 421.875$ $V = 4.18666... \times 421.875$ $V = 1767.1458333...$

Step 4: Round to the nearest tenth

Rounding the volume to the nearest tenth gives us $1767.1$ cm$^3$.

Final Answer: The final answer is $\boxed{1767.1}$

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