Question

David is a blacksmith who bought a solid sphere made of iron to melt down later and make hammers out of.
​
​The volume of the sphere is 70.34 cubic inches.
​
​What is the radius of the sphere to the nearest tenth of an inch?
​Use 3.14 as an approximation for π.

A
2.7 inches
B
2.6 inches
C
3.1 inches
D
4.1 inches

Answer 1

Answer:

Hope it helps...✌️✌️

Answer 2

The radius of the sphere is 2.6 inches that is option B

Concept or Formula used:

Volume of sphere is given by,

                              $V=\frac{4}{3} \pi r^{3}$,where r is the radius of the sphere.

Step-by-step explanation:

Given,volume of the sphere(V) is 70.34 cubic inches and $\pi$ as 3.14

As per the formula,

 $V=\frac{4}{3} \pi r^{3}$

$70.34=\frac{4}{3} \pi r^{3} \\70.34=\frac{4}{3} (\ 3.14) r^{3} \\\70.34=4.187r^{3}\\\frac{70.34}{4.187} =r^{3}\\16.80=r^{3}\\r=\sqrt[3]{16.80} \\r=2.56 inches$

$r$≈$2.6 inches$

Therefore,the radius of the sphere is 2.6 inches that is option B.