For the following exercises, determine the function described and then use it to answer the question. 64. The volume of a right circular cone, V , in terms of its radius, r , and its height, h , is given by V = 1 3 π r 2 h . Express r in terms of h if the height of the cone is12 feet and find the radius of a cone with volume of50 cubic inches.
For the following exercises, determine the function described and then use it to answer the question. 64. The volume of a right circular cone, V , in terms of its radius, r , and its height, h , is given by V = 1 3 π r 2 h . Express r in terms of h if the height of the cone is12 feet and find the radius of a cone with volume of50 cubic inches.
For the following exercises, determine the function described and then use it to answer the question.
64. The volume of a right circular cone, V, in terms of its radius, r, and its height, h, is given by
V
=
1
3
π
r
2
h
.
Express r in terms of h if the height of the cone is12 feet and find the radius of a cone with volume of50 cubic inches.
Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.
Let V represent the volume of a cone with radius r cm and height h cm. Write an equation for V (in cm) in terms of r and h.
V=
cm3
Find the radius of a cone (in cm) when its diameter is 4 m.
cm
Find the value of h (in cm) if the height is known to be 2 m.
cm
Water is leaking out of an inverted conical tank at a rate of 10,500 cm/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 m and the diameter at the top is
4 m. If the water level is rising at a rate of 20 cm/min when the height of the water is 2 m, find the rate (in cm/min) at which water is being pumped into the tank. (Round your answer to the nearest integer.)
cm³/min
The volume V of a right circular cone is V = (1/3)πr 2 h. If the height is twice the radius, express the volume V as a function of r.
1/3
The radius r of a sphere is given by the equation r =
where Vis the volume of the sphere. Find the radius of the
sphere when
V = 367 cubic feet.
Elementary and Intermediate Algebra: Concepts and Applications (7th Edition)
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