Question

A water cup is in the shape of the cone. The diameter of the cup is 3 inches and the height is 6 inches.

What is the volume of water the cup could hold?

Use 3.14 for pi.

Enter your answer, as a decimal, in the box.


____ in3

Answer 1

volume of water cup could hold is, 14.13 square inches.

Explanation:

Volume of a cone(V) is given by:

`V = (1)/(3) \pi r^2 h` .....[1]

where,

r is the radius of the cone

h is the height of the cone

As per the statement:

A water cup is in the shape of the cone. The diameter of the cup is 3 inches and the height is 6 inches.

⇒height(h) = 6 inches and diameter(d) = 3 inches

We know that:

diameter(d) =2 (radius)

`3 = 2r`

Divide both sides by 2 we get;

`r = 1.5`

substitute these in [1] we have;

Use
`\pi = 3.14`

`V = (1)/(3) \cdot 3.14 \cdot 1.5^2\cdot 6`

⇒
`V = (1)/(3) \cdot 3.14 \cdot 13.5`

Simplify:

`V = 14.13 in^3`

Therefore, the volume of water the cup could hold is, 14.13 square inches.