The radius r and height h of a right circular cone are both increasing at a constant rate of 2 cm/h. At what rate in centimeters cubed per hour is the volume V of the cone increasing when r = 6cm and h = 15cm? (The volume V of a right circular cone of height h and radius r is V = 1πr2h.)

Question

Cole Moss

Mathematics

26 September, 08:10

The radius r and height h of a right circular cone are both increasing at a constant rate of 2 cm/h. At what rate in centimeters cubed per hour is the volume V of the cone increasing when r = 6cm and h = 15cm? (The volume V of a right circular cone of height h and radius r is V = 1πr2h.)

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Answers (1)

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Francesca Stanton · Answer 1

94.2

Step-by-step explanation:

i honestly dont know if this answer is right but i am currently takeing classes in math about Geometry. We was learning about Word problems, that had to do with volume, Area, and perimeter, and learned what radius is, etc ...

So i thought you take the formula it gives you and use. Since Pie means 3.14 you use that in the formula. V = 1*3.14*2*15 = 94.2 you would multiply everything together because every number is close together. the height is 15 cm, thats how you get 15 at the end. next step is to solve the equation in your calculator. and it gives you that number. = 94.2