Posted by Cassie on Sunday, February 17, 2013 at 11:52pm.
A cone has a radius of 15 cm and a volume of 540 cm3. Find the volume of a similar cone with a radius of 10 cm.
A. 54 cm^3
B. 240 cm^3
C. 16 cm^3
D. 360 cm^3
I think its D but by the process of elimination...don't know how to figure it out really...?

Algebra  Jeff, Monday, February 18, 2013 at 12:14am
Could Answer c be 160 cm^3 and not 16 cm^3?

Algebra  Cassie, Monday, February 18, 2013 at 12:16am
yes it is sorry.

Algebra  Jeff, Monday, February 18, 2013 at 12:28am
The answer would then be C. 160 cm^3
The Volume of a cone is given by
V=(1/3)*pi*r^2*h
We know V= 540 cm^3 and that r=15 cm and can plug into the equation to find h.
I am going to leave the units off, but you should include it in your work.
540=(1/3)*pi*(15)^2*h
Solving for h gives
h=2.292 cm
Now a similar cone will have the same ratio
h1/r1 = h2/r2
(2.292 / 15) = (h2 / 10) and solve for h2.
h2 = 1.528 cm
Throw this into the Volume of a cone
V=(1/3)*pi*r^2*h
V=(1/3)*pi*(10)^2*(1.528) = 160 cm^3

Algebra  Reiny, Monday, February 18, 2013 at 12:35am
simpler way:
the volume of 2 similar solids is proportional to the cube of their sides
V/540 = 10^3/15^3
V = 540(1000)/(3375) = 160

Algebra  Cassie, Monday, February 18, 2013 at 1:03am
Thank you both...

Algebra  Monkey D. Luffy, Wednesday, April 1, 2015 at 3:45pm
c i got 100%

Algebra  anwsers for the test, Monday, June 13, 2016 at 7:05pm
if you go to connexus academy the anwsers for the test are
D
B
C
A
A
C
Answer This Question
Related Questions
 Math for Ms. Sue please!  1. Name the solid with the description as a figure ...
 math  A cone has the radius of 15 cm and a volume of 540 cm^3. What is the ...
 Geometry  "A cone has the radius of 24 and its volume is 1,920 what is the ...
 Calculus  Given a right circular cone, you put an upsidedown cone inside it so...
 Calculus  A cone is inscribed in a sphere of radius a, centred at the origin. ...
 Math  the formula for the volume of a cone is v=1/3pir^2h. The volume cone x is...
 7th gmath  An icecream shop offers a small size cone and a large size cone. ...
 math  The volume of a cone is given by the formula V = (1/3)r2h. A cone has a ...
 Math  1. A cone has a radius of 40 cm and a volume of 1875 cm^3. what is the ...
 Math  Hello I was wondering if you can help me with a question, I cant seem to ...
More Related Questions