Question

Cones A and B are similar.

The volume of cone A is 1080cm3.
The volume of cone B is 1715cm3.
Calculate the height,
h
, of cone A.

Answer 1

1715= 1/3 x 3.14 x r x r x 63

= 65.94 x r^2

÷65.94

26.01 = r^2

Square root

Radius is 5.1

1080 = 1/3 x 3.14 x 5.1^2 x h

1080 = 27.22 x h

÷27.22

39.67 = h

(Haven't been actually rounding up in my calculation, when I divided.)

Check:

1/3 x 5.1^2 x 39.67 x 3.14 = 1079.968146.

So, height is about 39.67cm

Hope this helps!