Chapter 12.3, Problem 3WE

To determine

To calculate: The lateral area, total area, and volume of each solid.

Answer to Problem 3WE

The lateral area = 125.6 sq. units, total area = 175.84 sq. units, and volume = 150.72 cu. units

Explanation of Solution

Given information: Consider the given information,

Radius = 4units, Height = 3units, $\pi \approx 3.14$

Formula used: Consider the given formula,

r = radius, h = height

Lateral area = $2\pi rh+\pi r^2$

Total area = $2\pi rh+2\pi r^2$

Volume = $\pi r^{2}h$

Calculation : Consider the given information the formula is ,

Lateral area = $(2\times 3.14\times 4\times 3)+(3.14\times 16)=125.6$ sq. units

Total area = $(2\times 3.14\times 4\times 3)+(2\times 3.14\times 16)=175.84$ sq. units

Volume = $3.14\times 16\times 3=150.72$ cu. units