David W. answered • 08/24/16
Tutor
4.7
(90)
Experienced Prof
Before you spend a lot of time calculating numbers, take a look at the formulas:
Cone: V = πr2h/3
Cyllinder: V = πr2h
So, if the cone and the cylinder have the same base (that is, the same area πr2) and the same height (h), then the volume cylinder is 3 times the volume of the cone..
The problem gives the volume of the cone as 242.1 cm3.
The volume of the cylinder is 3 times that, so it is 726.3 cm3.
So, if the cone and the cylinder have the same base (that is, the same area πr2) and the same height (h), then the volume cylinder is 3 times the volume of the cone..
The problem gives the volume of the cone as 242.1 cm3.
The volume of the cylinder is 3 times that, so it is 726.3 cm3.
[practical note: This is why pointed ice cream cones have much less ice cream.]
David W.
Sorry, Lillian H., YOUR STATEMENT IS WRONG; this is the correct answer. Did you check the formulas? Did you verify the math? NOTE: It is much easier to multiply by 3 than to multiply be PI, square r, multiply by r -- then, do that again, only to cancel it out as you near the end.
Report
03/31/21
Emma W.
this is the wrong answer
Report
04/28/21
Emma W.
i had something different
Report
04/28/21
Ceasar S.
this is very helpful
Report
03/31/22
Lillian H.
this is the wrong answer03/31/21