First, let's find the radius of the cylinder. We know that the area of the base (which is a circle) is given by the formula A = πr². So, if the area is 40 cm², we can set up the equation:

40 = πr²

Solving for r, we get r = sqrt(40/π) ≈ 3.57 cm.

Now, the volume of a cylinder is given by the formula V = πr²h. So, the volume of the cylinder is:

V = π*(3.57 cm)²*60 cm ≈ 2400 cm³.

The cone has five times the radius and six times the height of the cylinder. So, its radius is 5*3.57 cm = 17.85 cm, and its height is 6*60 cm = 360 cm.

The volume of a cone is given by the formula V = 1/3*πr²h. So, the volume of the cone is:

V = 1/3*π*(17.85 cm)²*360 cm ≈ 102000 cm³.

So, the correct answer is d. 102000 cm³.

Question

First, let's find the radius of the cylinder. We know that the area of the base (which is a circle) is given by the formula A = πr². So, if the area is 40 cm², we can set up the equation:

40 = πr²

Solving for r, we get r = sqrt(40/π) ≈ 3.57 cm.

Now, the volume of a cylinder is given by the formula V = πr²h. So, the volume of the cylinder is:

V = π*(3.57 cm)²*60 cm ≈ 2400 cm³.

The cone has five times the radius and six times the height of the cylinder. So, its radius is 5*3.57 cm = 17.85 cm, and its height is 6*60 cm = 360 cm.

The volume of a cone is given by the formula V = 1/3*πr²h. So, the volume of the cone is:

V = 1/3*π*(17.85 cm)²*360 cm ≈ 102000 cm³.

So, the correct answer is d. 102000 cm³.

Knowee AI · Accepted Answer

First, let's find the radius of the cylinder. We know that the area of the base (which is a circle) is given by the formula A = πr². So, if the area is 40 cm², we can set up the equation:

40 = πr²

Solving for r, we get r = sqrt(40/π) ≈ 3.57 cm.

Now, the volume of a cylinder is given by the formula V = πr²h. So, the volume of the cylinder is:

V = π*(3.57 cm)²*60 cm ≈ 2400 cm³.

The cone has five times the radius and six times the height of the cylinder. So, its radius is 5*3.57 cm = 17.85 cm, and its height is 6*60 cm = 360 cm.

The volume of a cone is given by the formula V = 1/3*πr²h. So, the volume of the cone is:

V = 1/3*π*(17.85 cm)²*360 cm ≈ 102000 cm³.

So, the correct answer is d. 102000 cm³.

A cylinder has a circular base with an area of 40 cm2 and a height of 60 cm. Determine the volume of a cone that has five times the radius and six times the height of the cylinder.Question 11Select one:a.100200 cm3b.120000 cm3c.210000 cm3d.102000 cm3

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