Question #787a4
2 Answers
I have given an outline of the method you could use to solve each part of the question, and the answer I got at the end.
Explanation:
For part a:
As the volume of the two shapes is equal, we can equate those volume equations.
The ratio of the cone's height to its radius is
I got
For part b:
Draw a pair of cylinders, and label them with the dimensions in terms of the small cylinder's radius.
The sum of the volumes is given to us, so we can form an equation in terms of the radius, and solve it for the radius, allowing us to give each cylinder's dimensions.
I got
Explanation:
The volume of sphere is given by the formula
Thevolume of cone is given by the formula
The condition here is that
where