Question

Cylinder A has a radius of 6 feet and a height that is 5.5 feet less than Cylinder B. Cylinder B's radius is 4 feet. The cylinders have the same surface area. Find the height of each cylinder.

Answer 1

The height of cylinders A and B will be 11 feet and 16.5 feet.

What is the surface area of a right circular cylinder?

Let r be the radius and h be the height of the cylinder.

Then the surface area of the cylinder will be

SA = 2πrh square units

Cylinder A has a radius of 6 feet and a height that is 5.5 feet less than Cylinder B. Cylinder B's radius is 4 feet.

$\rm r_A = 6 \ feet\\\\\rm h_B = 5.5 + h_A \\\\ r_B = 4 \ feet$

The surface area of cylinder A will be

SA = 2π × 6 ×  $\rm h_A$

The surface area of cylinder B will be

SA = 2π × 4 ×  $\rm h_B$

The cylinders have the same surface area. Then we have

2π × 4 ×  $\rm h_B$ = 2π × 6 ×  $\rm h_A$

$\rm 4 (5.5 + h_A ) = 6 h_A \\\\2h_A = 22\\\\h_A = 11$

Then the height of the cylinder B will be

$\rm h_B = 5.5 + h_A \\\\h_B = 5.5 + 11\\\\h_B = 16.5$

The height of cylinders A and B will be 11 feet and 16.5 feet.

More about the surface area of the cylinder link is given below.

brainly.com/question/22074027

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Answer 2

Answer:

you need a radius to be able to finish the question "what is the radius of b" !!

Step-by-step explanation: