Question

the radius of a sphere is 3 cm. what is the spheres volume? round to the nearest tenth. a 37.7 cm³ b 105.9 cm³ c 113.1 cm³ d 254.3 cm³

Explanation:

Step1: Recall the formula for the volume of a sphere

The formula for the volume \( V \) of a sphere is \( V=\frac{4}{3}\pi r^{3} \), where \( r \) is the radius of the sphere.

Step2: Substitute the given radius into the formula

Given \( r = 3\space\text{cm} \), substitute \( r\) into the formula:

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Step3: Calculate the numerical value

Using \( \pi\approx3.14159 \), we have \( V\approx36\times3.14159 = 113.09724\space\text{cm}^{3} \)

Step4: Round to the nearest tenth

Rounding \( 113.09724\) to the nearest tenth gives \( 113.1\space\text{cm}^{3} \)

Answer:

C. \( 113.1\space\text{cm}^{3} \)