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Help me please, someone​

Help me please, someone​-example-1

2 Answers

5 votes

Answer:

351.9 mi^2

Explanation:

The surface area of a cylinder can be found using the following formula.


SA=2\pi r^2+2\pi rh

We know that the height of the cylinder is 10 miles and the radius is 4 miles.

h= 10 mi

r= 4 mi


SA=2\pi (4 mi)^2+2\pi (4 mi)(10 mi)

First, evaluate the exponent 4 mi^2.

4 mi^2= 4 mi * 4 mi = 16 mi^2


SA=2\pi 16 mi^2+2\pi (4 mi)(10 mi)

Next, multiply 16 and 2pi


SA=100.530965 mi^2+2\pi(4 mi)(10mi)

Next, multiply 4 and 10


SA=100.530965 mi^2+2\pi40mi^2

Multiply 40 and 2 pi


SA=100.530965 mi^2+251.327412mi^2

Add the 2 numbers together


SA=351.858377 mi^2

Round to the nearest tenth. The 5 in the hundredth place tells us to round the 8 to a 9 in the tenth place.


SA=351.9 mi^2

The surface area of the cylinder is about 351.9 square miles.

User Lepsch
by
4.9k points
5 votes

Answer:


351.8mi^2

Explanation:

Hey there!

Well the formula to find the surface area of a cylinder is,


2\pi rh+2\pi r^2,

So with the h and r being 10 and 4 lets plug it in.


2\pi (4)(10)+2\pi (4)^2

Let's solve!

2π40 + 2π16

80π + 32π

251.3 + 100.5

=
351.8mi^2

Hope this helps :)

User Risa
by
5.4k points