Chapter 12.6, Problem 1PSA

(a)

To determine

To calculate: The Volume of sphere with radius $(r)=3$

Answer to Problem 1PSA

The volume of the sphere $(V)=113.1{\text{ units}}^3$

Explanation of Solution

Given:

Radius, r is 3 units.

Formula used:

  $V=\frac{4}{3}\pi r^3$

Calculation:

Putting value of r in formula of volume

  $\begin{array}{l}V=\frac{4}{3}{(}^3\\ V=113.1{(}^u\end{array}$

(b)

To determine

To find: The Volume of sphere with diameter 18 units

Answer to Problem 1PSA

  $3053.63{\text{ unit}}^3$

Explanation of Solution

Given:

Diameter is 18 unit, hence radius(r) will be half of diameter ,i.e. 9units

Formula used:

  $V=\frac{4}{3}\pi r^3$

Calculation:

Putting value of r in formula of volume, V

  $\begin{array}{}$ \begin{array}{l}$ V=\frac{4}{3}{(9)}^3$V=3053.63{\text{ unit}}^3\end{array}$\end{array}$

(c)

To determine

To find: The Volume of sphere with radius 5 units

Answer to Problem 1PSA

  $524.6{\text{ unit}}^3$

Explanation of Solution

Given:

Radius of sphere is 5 units.

Formula used:

  $V=\frac{4}{3}\pi {(r)}^3$

Calculation:

Putting value of r in formula of volume, V

  $\begin{array}{l}$ V=\frac{4}{3}{(5)}^3$V=523.6{\text{ unit}}^3\end{array}$