Question

the radius, r, of a sphere is 9.4 mm. calculate the spheres volume, v. use the value 3.14 for π, and round your answer to the nearest tenth. (do not round any intermediate computations.)

Explanation:

Step1: Recall volume formula

$V = \frac{4}{3}\pi R^{3}$

Step2: Substitute values

$V=\frac{4}{3}\times3.14\times(9.4)^{3}$

Step3: Calculate $(9.4)^{3}$

$(9.4)^{3}=9.4\times9.4\times9.4 = 823.216$

Step4: Calculate product

$V=\frac{4}{3}\times3.14\times823.216$
$V=\frac{4\times3.14\times823.216}{3}$
$V=\frac{10377.376}{3}\approx3459.1253$

Step5: Round to nearest tenth

$V\approx3459.1$

Answer:

$3459.1$