A cylinder has a radius of 2 meters and a height of 10 meters. What is the volume of the cylinder?

Cylinder V = Bh

1. Write the formula replacing B with the formula for the area of a circle: V = trh

2. Substitute the actual measures for the variables:

V = 1(2)(10)

3. Evaluate the power:

V = (4)(10)

4. Simplify:

tm

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Dane

Step-by-step explanation:

Step-by-step explanation:

Volume of a cylinder = πr²h

Given the volume of cylinder in question = Bh where;

B is base area of the cylinder = πr²

Given radius = 2m height = 10m

Base area B = π(2)²

Base area B = 4πcm²

Volume  of the cylinder= 4π(10)

Volume of the cylinder = 40πcm³

The following options are right based on the calculation;

1) Write the formula replacing B with the formula for the area of a circle. V = πr²h

2) Evaluate the power

V = π(2)²(10)

V = 4π(10)

investment b is an ordinary annuity with $3,909.64 in the account after one year.

step-by-step explanation:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240