Question

The diameter of a sphere is 8 centimeters. What is the volume of the sphere? Use 3.14 for pi. Enter your answer, as a decimal, in the box. Round only your final answer to the nearest tenth. cm³

Answer 1

The volume of a sphere is given by the equation $V= \frac{4}{3} \pi r^3$, where r is the radius.

We are given the diameter of the sphere, but recall that the diameter is twice the radius: $d=2r$. So the radius is half of the diameter: $r= \frac{1}{2}d$.

Half of 8 cm is 4 cm.

We substitute this for r in the equation and we use 3.14 for π.

$V= \frac{4}{3}(3.14)(4)^3= \frac{(4^4)(3.14)}{3}=267.9 \ cm^3$

Answer 2

The steps for this are below

recall volume of sphere formula is
$\frac{4}{3} \pi \times r {}^{3}$
we know the diameter so to get the radius we just divide the diameter by 2 to get the radius
$r = 8 \div 2$
$r = 4$
know we can plug it into the volume of a sphere formula and solve using 3.14 for pi
$v = (4 \times 3.14 \times 4 {}^{3} ) \div 3$
simplify the parentheses and get
$v = \frac{803.84}{3}$
FINAL ANSWER (rounding to nearest tenth)
$v = 267.9 \: cm {}^{3}$