the diameter, d, of a sphere is 13.6 cm. calculate the spheres volume, v. use the value 3.14 for π, and…

Explanation:

Step1: Find the radius

The radius (r) of a sphere is half of the diameter. Given (D = 13.6) cm, so (r=\frac{D}{2}=\frac{13.6}{2}=6.8) 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 = 6.8) cm and (\pi=3.14) into the formula: [ \begin{align*} V&=\frac{4}{3}\times3.14\times(6.8)^{3}\ &=\frac{4}{3}\times3.14\times314.432\ &=\frac{4\times3.14\times314.432}{3}\ &=\frac{3940.1152}{3}\ & = 1313.3717\cdots \end{align*} ]

Step3: Round the result

Round (1313.3717\cdots) to the nearest tenth. The digit in the hundredth place is (7), so we round up the digit in the tenth place.

Answer:

(1313.4)