Question

Find the volume of the cone shown. Use 3.14 for pi. Round your answer to the nearest hundredth.

Answer 1

Answer:

307.72 cubic in

Step-by-step explanation:

We are given that

Height of cone=24 in

Slant height of cone=25 in

We know that

Diameter, d=$\sqrt{l^2-h^2}$

d=$\sqrt{(25)^2-(24)^2}=\sqrt{49}=7 in$

Radius of cone=r=$\frac{d}{2}=\frac{7}{2}in$

Volume of cone =$\frac{1}{3}\pi r^2h$

Where $\pi=3.14$

Using the formula

Volume of cone=$\frac{1}{3}\times 3.14\times (\frac{7}{2})^2\times 24$

Volume of cone=307.72 cubic in