Question

A hemisphere with a radius 1.5 inches. Use 3.14 for pie. Around your inch to the nearest thousandth.

Answer 1

Hello!

Let's write some information contained in the exercise:

• radius,: 1.5in

,

• pi,: 3.14

In this exercise, we have a hemisphere (half of a sphere). So, we can solve it using the formula of the volume of the sphere, then we'll divide the obtained result by 2, look:

$V_{\circ}=\frac{4\cdot\pi\cdot r^3}{3}$

Let's replace it with the values:

$V_{\operatorname{\circ}}=\frac{4\cdot3.14\cdot1.5^3}{3}=\frac{12.56\operatorname{\cdot}3.375}{3}=\frac{42.39}{3}=14.13in^3$

As we are working with a hemisphere, we have to divide it by 2:

$V=\frac{14.13}{2}=7.065in^3$

Right Answer:

Third alternative.