How much material is required if the can is of radius 3 centimeters?

A can in the shape of a right circular cylinder is required to have a volume of 250

1. Making a Can- A can in the shape of a right circular cylinder is required to have a volume of 250 cubic centimeters.

(a) Express the amount A of material to make the can as a function of the radius r of the cylinder.

(b) How much material is required if the can is of radius 3 centimeters?

2. Height and Head Circumference. The head circumference C of a child is related to the height H of the child (both in inches) through the function:

H(C) = 2.15C – 10.53?

(a) Express the head circumference C as a function of height H.

(b) Predict the head circumference of a child who is 26 inches tall.

3. Solve the following logarithmic equation. Exact answers only.

log3(???? + 4) = 2 + log3(???? ? 20)

 

Answer

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