A cone and a sphere have the same radius. The volume of the cone is 3 times the volume of the sphere. What is the ratio of the surface area of the cone to the surface area of the sphere?
Answers
Answer:
Volume of sphere = (4/3)*pi*r^3
Volume of sphere = (4/3)*pi*r^3Volume of cone = (1/3)*pi)r^2*h
Volume of sphere = (4/3)*pi*r^3Volume of cone = (1/3)*pi)r^2*hIf their volumes are same, (4/3)*pi*r^3 = (1/3)*pi*r^2*h, or
Volume of sphere = (4/3)*pi*r^3Volume of cone = (1/3)*pi)r^2*hIf their volumes are same, (4/3)*pi*r^3 = (1/3)*pi*r^2*h, or4r^3=r^2*h, or
Volume of sphere = (4/3)*pi*r^3Volume of cone = (1/3)*pi)r^2*hIf their volumes are same, (4/3)*pi*r^3 = (1/3)*pi*r^2*h, or4r^3=r^2*h, or4r = h.
Volume of sphere = (4/3)*pi*r^3Volume of cone = (1/3)*pi)r^2*hIf their volumes are same, (4/3)*pi*r^3 = (1/3)*pi*r^2*h, or4r^3=r^2*h, or4r = h.The height of the cone is 4-times the radius of the sphere or the base of the cone.
Hope it helps you
Answer:
The volume of one cone must be the same volume as a hemisphere (if they have the same radius and the height of the cone is the diameter of the sphere).
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