Chapter 12.3, Problem 3ST1

To determine

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

Answer to Problem 3ST1

The lateral area = 753.6 sq. units, total area = 1067.6 sq. units, and volume = 2198 cu. units

Explanation of Solution

Given information: Consider the given information,

Radius = 10units, Height = 7units, $\pi \approx 3.14$

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 = $(2\times 3.14\times 10\times 7)+(3.14\times 100)=753.6$ sq. units

Total area = $(2\times 3.14\times 10\times 7)+(2\times 3.14\times 100)=1067.6$ sq. units

Volume = $3.14\times 100\times 7=2198$ cu. units