Question

a frozen-yogurt shop offers extra-large waffle cones. what is the volume of the waffle cone? use 3.14 for π and round to the nearest hundredth.

1. what are the radius, r, and height, h, of the waffle cone?

r = inches h = inches

1. what is the area of the base?

b = πr²
= π( )²
= π
= in.²

1. what is the volume of the waffle cone?

v = (1/3)bh
= (1/3) • •
≈ in.³
on the rack!

Explanation:

Step1: Identify radius and height

From the image, \( r = 4.3 \) inches and \( h = 9.1 \) inches.

Step2: Calculate the area of the base

Using the formula \( B=\pi r^{2} \), substitute \( r = 4.3 \).

$$
LATEXBLOCK0
$$

Step3: Calculate the volume of the cone

Using the formula \( V=\frac{1}{3}Bh \), substitute \( B = 57.96 \) and \( h = 9.1 \).

$$
LATEXBLOCK1
$$

Answer:

1. \( r = 4.3 \) inches, \( h = 9.1 \) inches
2. \( B\approx57.96\text{ in}^2 \)
3. \( V\approx175.81\text{ in}^3 \)