The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height.

Given that the volumes of the two cylinders are equal, we can set up the equation:

π*(3/2*r1)²*h1 = π*(2/2*r2)²*h2

Solving for h2/h1 (the ratio of the heights), we get:

h2/h1 = (r1/r2)² = (3/2)² = 9/4

Therefore, the ratio of the heights is the reciprocal of 9/4, which is 4:9.

So, the correct answer is d. 4:9.

Question

The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height.

Given that the volumes of the two cylinders are equal, we can set up the equation:

π*(3/2*r1)²*h1 = π*(2/2*r2)²*h2

Solving for h2/h1 (the ratio of the heights), we get:

h2/h1 = (r1/r2)² = (3/2)² = 9/4

Therefore, the ratio of the heights is the reciprocal of 9/4, which is 4:9.

So, the correct answer is d. 4:9.

Knowee AI · Accepted Answer

The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height.

Given that the volumes of the two cylinders are equal, we can set up the equation:

π*(3/2*r1)²*h1 = π*(2/2*r2)²*h2

Solving for h2/h1 (the ratio of the heights), we get:

h2/h1 = (r1/r2)² = (3/2)² = 9/4

Therefore, the ratio of the heights is the reciprocal of 9/4, which is 4:9.

So, the correct answer is d. 4:9.

The diameter of two cylinders, whose volumes are equal, are in the ratio 3:2. Their heights will be in the ratio .Select one:a. 8:9b. 5:6c. 5:8d. 4:9