Question

the volume and diameter of a both sphere and cone are equal. Find the diameter of the sphere
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Answer 1

Answer:

RADIUS IS EQUAL TO ONE FOURTH THE HEIGHT OF CONE

Answer 2

If h is height of cone and r is radius of cone and sphere, then

If h is height of cone and r is radius of cone and sphere, thenVolume of cone: (1/3)π*R^2 *h

If h is height of cone and r is radius of cone and sphere, thenVolume of cone: (1/3)π*R^2 *hVolume of sphere: (4/3)πR^3

If h is height of cone and r is radius of cone and sphere, thenVolume of cone: (1/3)π*R^2 *hVolume of sphere: (4/3)πR^3Problem says the two volumes are equal, so:

If h is height of cone and r is radius of cone and sphere, thenVolume of cone: (1/3)π*R^2 *hVolume of sphere: (4/3)πR^3Problem says the two volumes are equal, so:(1/3)π(R^2)*h = (4/3)π(R^3)

If h is height of cone and r is radius of cone and sphere, thenVolume of cone: (1/3)π*R^2 *hVolume of sphere: (4/3)πR^3Problem says the two volumes are equal, so:(1/3)π(R^2)*h = (4/3)π(R^3)h= 4R = 2D where D is diameter of cone/sphere

If h is height of cone and r is radius of cone and sphere, thenVolume of cone: (1/3)π*R^2 *hVolume of sphere: (4/3)πR^3Problem says the two volumes are equal, so:(1/3)π(R^2)*h = (4/3)π(R^3)h= 4R = 2D where D is diameter of cone/sphereh/D = 2/1