Download Assignment 5

Assignment 5
1. How does the surface area of a box (including the top and bottom) change if:
Each dimension is doubled?
Each dimension is tripled?
Each dimension is multiplied by a factor n?
2. How does the lateral surface area of a cone change if:
The slant height is tripled but the radius remains the same?
The radius of the base is tripled but the slant height remains the same?
3. The sector shown in the following figure is rolled into a cone so that the dotted edges
just touch. Find the following:
The lateral surface area of the cone
The total surface area of the cone.
4. Find the total surface area of the following stand, which was cut from a right circular
cone.
5. In the following figure, a right circular cylinder is inscribed in a right circular cone.
Find the lateral surface area of the cylinder if the height of the cone is 40 cm, the height
of the cylinder is 30 cm, and the radius of the base of the cone is 25 cm.
6. Tennis balls are packed tightly three to a can in the shape of a cylinder.
Which is greater the circumference of the can or its height? Explain.
Estimate how the lateral surface area of the can compares to the surface area of all three
balls. Explain.