Question

An artist creates a​ cone-shaped sculpture for an art exhibit. If the sculpture is 5 feet long and has a base with a circumference of 21.980 feet, what is the volume of the​ sculpture? Use 3.14 for piπ HELP Me PLZ

Answer 1

the volume of the​ sculpture is $Volume = 64.11ft^3$ .

Step-by-step explanation:

Here we have , An artist creates a​ cone-shaped sculpture for an art exhibit. If the sculpture is 5 feet long and has a base with a circumference of 21.980 feet, We need to find the volume of the​ sculpture . Let's find out:

We know that

⇒ $Circumference = 2\pi r$

According to question ,

⇒ $21.980 = 2\pi r$

⇒ $\frac{21.980}{2\pi} = r$

⇒ $r=3.5$

Now , We know that Volume of cone :

⇒$Volume = \frac{1}{3}\pi r^2h$

⇒$Volume = \frac{1}{3}(3.14) (3.5)^25$

⇒$Volume = 64.11ft^3$

Therefore , the volume of the​ sculpture is $Volume = 64.11ft^3$ .