starx14
Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Experience the ease of finding reliable answers to your questions from a vast community of knowledgeable experts. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

The height of a cone-shaped statue is 9 ft, and the diameter is 12 ft. What is the volume of the statue? Use 3.14 to approximate pi, and express your final answer to the nearest tenth.

Sagot :

iGreen
[tex]\sf~V=\dfrac{1}{3}\pi~r^2h[/tex]

Plug in what we know:

[tex]\sf~V=\dfrac{1}{3}(3.14)(6)^2(9)[/tex]

Simplify exponent:

[tex]\sf~V=\dfrac{1}{3}(3.14)(36)(9)[/tex]

Multiply:

[tex]\sf~V=\boxed{\sf339.12}[/tex]

Answer:

339.1 ft³

Step-by-step explanation:

The formula for the volume of a cone is

V = 1/3πr²h

Since the diameter of the statue is 12, this makes the radius 12/2 = 6.

Using 6 for r, 3.14 for pi, and 9 for h, we have

V = 1/3(3.14)(6²)(9) = 339.12 ≈ 339.1 ft³

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.