what is the volume of a sphere with a diameter of 7.5 cm, rounded to the nearest tenth of a cubic centimeter?
what is the volume of a sphere with a diameter of 7.5 cm, rounded to the nearest tenth of a cubic centimeter?
Answer
Explanation:
Step1: Find the radius
The radius (r) of a sphere is half of the diameter (d). Given (d = 7.5) cm, so (r=\frac{d}{2}=\frac{7.5}{2}=3.75) cm.
Step2: Use the volume formula for a sphere
The volume formula of a sphere is (V=\frac{4}{3}\pi r^{3}). Substitute (r = 3.75) into the formula: [ \begin{align*} V&=\frac{4}{3}\pi(3.75)^{3}\ &=\frac{4}{3}\pi\times52.734375\ &=\frac{210.9375\pi}{3}\ & = 70.3125\pi \end{align*} ] Take (\pi\approx3.14159), then (V=70.3125\times3.14159\approx220.8)
Answer:
(220.8) cubic centimeters