Question

the diameter, d, of a sphere is 9.2 cm. calculate the spheres volume, v. use the value 3.14 for π, and round your answer to the nearest tenth. (do not round any intermediate computations.)

Explanation:

Step1: Find the radius

The radius \( r \) of a sphere is half of its diameter \( D \). Given \( D = 9.2 \) cm, so \( r=\frac{D}{2}=\frac{9.2}{2} = 4.6 \) cm.

Step2: Use the volume formula for a sphere

The volume \( V \) of a sphere is given by the formula \( V=\frac{4}{3}\pi r^{3} \). We know \( \pi = 3.14 \) and \( r = 4.6 \) cm. Substitute these values into the formula:

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Step3: Round to the nearest tenth

Rounding \( 408.19968 \) to the nearest tenth gives \( 408.2 \).

Answer:

\( 408.2 \)