Make D as a term of a.
1/3πr²h = 4/3πr³
Volume of a cone where h is D and radius is a/2
Volume of a sphere with a as the radius

Question

Make D as a term of a. 1/3πr²h = 4/3πr³ Volume of a cone where h is D and radius is a/2 Volume of a sphere with a as the radius

SnapAndSolve AI · Accepted Answer

To express D in terms of a, start with the given equation:

1/3π(a/2)²D = 4/3πa³

Simplify the left side:

1/3π(a²/4)D = 4/3πa³

Multiply both sides by 3 to eliminate the fractions:

π(a²/4)D = 4πa³

Divide both sides by π:

(a²/4)D = 4a³

Multiply both sides by 4/a² to solve for D:

D = 16a

Make D as a term of a. 1/3πr²h = 4/3πr³ Volume of a cone where h is D and radius is a/2 Volume of a sphere...