Question

question
what is the volume of a sphere with a diameter of 4.9 cm, rounded to the nearest tenth of a cubic centimeter?

Explanation:

Step1: Find radius from diameter

The radius $r$ is half the diameter.
$r = \frac{4.9}{2} = 2.45$ cm

Step2: Apply sphere volume formula

Use the volume formula $V = \frac{4}{3}\pi r^3$.
$V = \frac{4}{3} \times \pi \times (2.45)^3$

Step3: Calculate the value

First compute $(2.45)^3 = 2.45 \times 2.45 \times 2.45 = 14.706125$
Then $V = \frac{4}{3} \times \pi \times 14.706125 \approx \frac{4}{3} \times 46.19 \approx 61.59$

Step4: Round to nearest tenth

Round 61.59 to one decimal place.
$V \approx 61.6$

Answer:

$61.6$ cubic centimeters