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

Question

asked Oct 3, 2022 132k views

1 Answer

Cpilko · Answer 1 · 2022-10-08T13:37:08+0000

Answer:

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