The volume of a cylinder is 30pi cubic units. A cone shares the same base. The height of the cone is twice the height of the cylinder. What is the volume of the cone?
Write answers in terms of "pi" ex: 10pi cubic units

Step-by-step explanation:

Given:

The volume of a cylinder is 30π cubic units.

A cone shares the same base.

The height of the cone is twice the height of the cylinder.

We need to determine the volume of the cone.

Height of the Cone:

Let h denote the height of the cylinder.

Let H denote the height of the cone.

Since, it is given that, the height of the cone is twice the height of the cylinder, we have;

H=2h

Volume of the cylinder:

The formula to determine the volume of the cylinder is

V=πr^2h

Since, volume of the cylinder is 30π , we get;

30π=πr^2(1)

Volume of the cone:

The formula to determine the volume of the cone is

v=1/3πr^2H

Substituting H=2h , we get;

v=1/3πr^2(2h)

v=1/3πr^2h

Substituting equation (1), we get;

V=2/3(30π)

v=20π

Thus, the volume of the cone is 20π

The answer is 20pi

Step-by-step explanation:

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled