The radius of a cylinder is 4 inches and the height is 5 inches. Which statements are correct? Check all that apply. The area of the two bases is 16π in2. The area of the two ba…

Question

asked Oct 28, 2020 197k views

2 Answers

Borad Akash · Answer 1 · 2020-10-29T20:17:51+0000

Answer:

The area of the two bases is 32π in2.

The lateral area is 40π in2.

The total surface area is 72π in2.

Explanation:

e2020

Mingle · Answer 2 · 2020-11-03T21:45:32+0000

Answer:

- The area of the two bases is 32π in².

- The lateral area is 40π in².

- The total surface area is 72π in².

Explanation:

1. The base of the cylinder is a circle, therefore, you can apply the formula for calculate the area of a circle:

$A=r^(2)\pi$

Where
is the radius.

Then the area of the base is:

$A_b=(4in)^(2)\pi=16in^(2)$

Multiply by 2 to obtain the area of the two bases:

$A_(bases)=2(16\pi)=32\pi$
in^(2)

2. The lateral area is (Where
is the height):

$LA=2rh\pi=2(4in)(5in)\pi=40\pi$
in^(2)

3. The total surface area is calculated with the formula:

$A_t=2r^(2)\pi+h(2r\pi)$

Where
is the height.

Then:

$A_t=2\pi(4in)^(2)+\pi(5in)(2)(4in)=72\pi$
in^(2)