A spherical balloon is being filled with air. What is the volume of the sphere at the instance the rate of growth of the volume is 1.65 times the rate of growth of the surface area?

A balloon's radius is increasing at a rate of 5 cm/s at the exact moment when the radius of the balloon is 1 cm. Assuming that the balloon is a sphere, at what rate is the volume increasing?

A regular tetrahedron is growing in size. What is the ratio of the rate of change of the volume of the tetrahedron to the rate of change of its surface area when its sides have length 7.9?

A regular tetrahedron is growing in size. What is the ratio of the rate of change of the volume of the tetrahedron to the rate of change of its surface area when its sides have length 1.8?

A spherical balloon is being filled with air. What is ratio of the rate of growth of the volume of the sphere to the rate of growth of the surface area when the radius is 1.32?

A cube is growing in size. What is the length of the sides of the cube at the time that the rate of growth of the cube's volume is equal to 0.56 times the rate of growth of its surface area?

A cube is diminishing in size. What is the ratio of the rate of loss of the cube's surface area to the rate of loss of its diagonal when its sides have length 14?

A cube is growing in size. What is the ratio of the rate of growth of the cube's volume to the rate of growth of its surface area when its sides have length 13.6?

A regular tetrahedron is growing in size. What is the ratio of the rate of change of the surface area of the tetrahedron to the rate of change of its height when its sides have length 3?

A cube is growing in size. What is the length of the diagonal of the cube at the time that the rate of growth of the cube's volume is equal to twice the rate of growth of the area of one of its sides??