PLEASE HELP!! What is the volume of the cylinder shown below?

A. 150 cu. units

B. 100 cu units

C. 2250 cu units

D. 1500 cu units

V = 150 pi  units ^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

V = pi 10^2 * 15

V = 1500 pi  units ^3

Explanation: Notice that the figure shown here is a cylinder.

To find the volume of a cylinder, start with the formula

for the volume of a cylinder which is v = πr²h.

Here, notice that our cylinder has a radius of 10 and a height of 15.

So we have (π)(10)²(15).

Start by simplifying the exponent.

(10)² is (10)(10) or (100 units²).

So we have (π)(100 units²)(15).

Now, (100 units²)(15) is 1,500 units³.

So we have 1,500π units³.

So your answer is D.

a) 32pie square meters

step-by-step explanation:

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.