SOLUTION: Find the volume. Use 3.14 for 𝜋. (Assume a = 7 cm, b = 14 cm, and h = 24 cm.) The anwser= cm3

Algebra ->  Equations -> SOLUTION: Find the volume. Use 3.14 for 𝜋. (Assume a = 7 cm, b = 14 cm, and h = 24 cm.) The anwser= cm3      Log On


   

Question 1197872: Find the volume. Use 3.14 for 𝜋. (Assume a = 7 cm, b = 14 cm, and h = 24 cm.)
The anwser= cm3
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Assuming you have one cylinder inside another cylinder

Capture11-3-2022-5-03-58-PM

formula for volume of a cylinder is:
V=pi%2Ar%5E2%2Ah
given:
a+=+7cm, b+=+14cm, and h+=+24cm, pi=3.14


smaller cylinder has diameter a=7cm =>+r=3.5cm
V%5B1%5D=3.14%2A%283.5cm%29%5E2%2A24cm
V%5B1%5D=923.16cm%5E3

bigger cylinder has diameter a=14cm => r=7cm
V%5B2%5D=3.14%2A%287cm%29%5E2%2A24cm
V%5B2%5D=3692.64cm%5E3+
then the volume you need is
V=V%5B2%5D-V%5B1%5D
V=3692.64cm%5E3+-923.16cm%5E3
V=2769.5cm%5E3++


Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

The shape of the solid is not determined in the post.

From the context, it can be a cylinder with a hole;

but it can be a conical frustum, too.

So, the problem is not posed correctly.