what is the volume of a sphere with a diameter of 3.2 m, rounded to the nearest tenth of a cubic meter?
what is the volume of a sphere with a diameter of 3.2 m, rounded to the nearest tenth of a cubic meter?
Answer
Explanation:
Step1: Find the radius
The radius (r) of a sphere is half of the diameter (d). Given (d = 3.2) m, so (r=\frac{d}{2}=\frac{3.2}{2}=1.6) m.
Step2: Use the volume formula for a sphere
The volume formula of a sphere is (V=\frac{4}{3}\pi r^{3}). Substitute (r = 1.6) into the formula: [ \begin{align*} V&=\frac{4}{3}\pi(1.6)^{3}\ &=\frac{4}{3}\pi\times4.096\ &=\frac{16.384}{3}\pi\ &\approx\frac{16.384}{3}\times3.14\ &=\frac{51.44576}{3}\ &\approx17.1 \end{align*} ]
Answer:
(17.1) cubic meters