Concept explainers
Radius and Volume of a Cone The radius required for a cone to have a
volume V and a height h is given by the equation
necessary radius to have a cone with the properties below. Use
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Intermediate Algebra (8th Edition)
- Volume of a Cone The volume V of a cone can be calculated by the formula V=13r2h, where r is the radius and h is the height. Solve for h.arrow_forwardBuilding a Quonset Hut Quonset huts were developed during World War II. They were temporary housing structures that could be assembled quickly and easily. A Quonset hut is shaped like a half cylinder. A manufacturer has 600square feet of material with which to build a Quonset hut. (a) The formula for the surface area of half a cylinder is S=r2+rl,where ris the radius and lis the length of the hut. Solve this equation for lwhen S=600. (b) The formula for the volume of the hut is V=12r2l. Write the volume Vof the Quonset hut as a polynomial function of r. (c) Use the function you wrote in part (b) to find the maximum volume of a Quonset hut with a surface area of 600square feet. What are the dimensions of the hut?arrow_forwardThe Skydiver Again When a skydiver jumps from an airplane, her downward velocity, n feet per second, before she opens her parachute is given by = 176 1 0.834t, where t is the number of seconds that have elapsed since she jumped from the airplane. We found earlier that the terminal velocity for the skydiver is 176 feet per second. How long does it take for her to reach 90 of terminal velocity?arrow_forward
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