The cylinder shown has a lateral surface area of about 400 square inches. which answer is closest to the measure of the cylinder's radius? use 3.14 to approximate pi

Answers

The answer I got was 1.59. That is the closest answer choice I got.
(If you get it wrong...:( I'm sorry)

The formula for lateral surface of a cylinder is:

SA = 2 *PI * r *h

Replace the letters with the given values:

400 = 2 * PI * r *40

Multiply the right side:

400 = r * 251.2

Divide both sides by 251.2:

r = 400 / 251.2

r = 1.59

The radius is 1.59 inches.

r = 1.59inch

the radius of the cylinder is

1.59inch

Step by step Explanation

lateral surface of a cylinder can be calculated using the below formula

Surface Area= 2 πr h

We were given area as 400inch^2 and height as 40inch then substitute we have

400 = 2 ×π × r ×40

400= 2×22/7×40

Then do the calculation, where, π

=22/7

400 = r × 251.2

Make r subject of formula we have

r = 400 / 251.2

r = 1.59inch

Therefore, the radius of the cylinder is

1.59inch

CHECK THE ATTACHMENT FOR THE FIGURE


The cylinder shown has a lateral surface area of about 400 square inches. Which answer is closest to

1.59

Step-by-step explanation:



Do you know the answer?

Other questions on the subject: Mathematics

Mathematics, 21.06.2019, bhebert6057
Domain: [1,2,3,...9460]Range: [45.50, 91, 136.5...430430]Step-by-step explanation:Let the number of people in attendance at a game =xEach ticket costs $45.50.Therefore, Revenue, f(...Read More
1 more answers
Mathematics, 21.06.2019, millie54
See below.Step-by-step explanation:The standard deviation  =  √  (∑(x - 10)^2 / 8 )  must be approximately = 1 if we take the mean to be 10.This requires ∑ (x - 10)^2 to be approxi...Read More
1 more answers
Mathematics, 21.06.2019, memo1102
answer: two people are traveling and need to exchange the currency of their native country for the currency of the country they are visiting.drag each exchange to match the ratio o...Read More
2 more answers
g(x) > h(x) for x = -1. For positive values of x, g(x) > h(x).  For negative values of x, g(x) > h(x).Step-by-step explanation:Given functions: and When x=0, and ∴ at x=...Read More
2 more answers