Question

5. Cameron found the volume of the cone below, but when he double-

checked his work, he got a different solution. Determine which solution

best represents the volume of the cone.

TRY #1

169.6 in 3

TRY #2

56.5 in 3

Answer 1

Try 2 is correct

Explanation:

See attachment for dimension of cone.

From the attached,

The diameter of the cone, d = 6 in

The height of the cone, h = 6 in

The volume of a cone is calculated as thus

Volume = ⅓πr²h

So, we need the value of r.

r represents radius and

r = ½d

r = ½ * 6

r = 3.

So,

Volume = ⅓πr²h becomes

Volume = ⅓ * π * 3² * 6

Volume = π * 3 * 6

Volume = π * 18

Volume = 18π

Take π as 3.14

So,

Volume = 18 * 3.14

Volume = 56.52 in³

Given that

Try 1 = 169.6 in³

Try 2 = 56.5 in³

We can conclude that Try 1 is incorrect and Try 2 is correct