Sphere and a cylinder have the same radius and height. The volume of the cylinder is 54 meters cubed. Amie found the volume of the sphere. A sphere with height h and radius r. A cylinder with height h and radius r. Her work is shown below. V = two-thirds + 54. V = two-thirds + StartFraction 162 Over 3 EndFraction. V = StartFraction 164 Over 3 EndFraction meter cubed. What is Amie’s error? Amie should have multiplied 54 by Two-thirds. Amie should have multiplied 54 by Four-thirds pi. Amie should have multiplied 54 by Four-thirds. Amie should have multiplied 54 by Two-thirds pi.

Amie should have multiplied 54 by 2/3

Step-by-step explanation:

The formula of the volume of a sphere is given by

, where r is the radius of the sphere.

to find the volume of the sphere, we must find

We know that the formula of a cylinder of height h and radius r is given by

So

We know that the sphere and the cylinder have the same height. Recall that the height of the sphere of radius r, is the diameter of a circle that passes through the heighest and lowest points of the sphere. Then, h=2r. This means that

From here, we know that .

So the volume of the sphere is .

So Amie should have multiplied 54 by 2/3.

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation:

$25

step-by-step explanation:

25 - 4.50 = 20.5

20.5 / 2 = 10.25

10.25 + 10 = 20.25

20.25 - 12.50 = 7.75

therefore the answer is $25 as shown as the first number.