Question

Ahmad said that the volume of cone A is half the volume of cone B? Do you agree? Explain

Answer 1

Yes, I agree

Explanation:

See attachments for cone

Cone A

`h = 2r`

Cone B

R = 2r

`h=r`

The volume of a cone is

`V = (1)/(3)\pi r^2h`

For cone A, we have:

`V = (1)/(3)\pi r^2*2r`

`V_A = (2)/(3)\pi r^3`

For cone B, we have:

`V = (1)/(3)\pi *(2r)^2 * r`

`V = (1)/(3)\pi *4r^2 * r`

`V_B = (4)/(3)\pi r^3`

So, we have:

`V_B = 2 * (2)/(3)\pi r^3`

Substitute
`V_A = (2)/(3)\pi r^3`

`V_B = 2 * V_A`

Make VA the subject

`V_A = (1)/(2)V_B`

Hence, I agree with Ahmad