Answer:
VA = 2/3πrB²hB
Step-by-step explanation:
Let the volume of cosA ad cone B be expressed as;
Va = 1/3πra²ha
Vb = 1/3πrb²hb
If the radius of the base of cone A is twice as large as the radius of the base of cone B
rA = 2rB
If the height of cone B is twice the height of cone A, then;
hB = 2hA
hA = hB/2
Recall that;
VA = 1/3πrA²hA
VA = 1/3π(2rB)²(hB/2)
VA = 1/3π*4rB²(hB/2)
VA = 2/3πrB²hB
This gives the volume of cone A
