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.

Answer 1

Answer:

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

Step-by-step explanation:

Volume of a cone(V) is given by:

$V = \frac{1}{3} \pi r^2 h$      .....[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 $\pi = 3.14$

$V = \frac{1}{3} \cdot 3.14 \cdot 1.5^2\cdot 6$

⇒$V = \frac{1}{3} \cdot 3.14 \cdot 13.5$

Simplify:

$V = 14.13 in^3$

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

Answer 2

V = volume of cone
r = radius
h = height

Formula:
V = pi*r^2*h

Plug in r = 1.5 (since d = 3 is the diameter, you cut it in half to get the radius) and h = 6

V = pi*r^2*h
V = pi*1.5^2*6
V = 13.5*pi
V = 13.5*3.14
V = 42.39

Answer: 42.39