1) The volume of a sphere is 58cm³. What is the radius of the sphere

Secondary 3 March break review package.
Before you begin, look at the formula sheet and your textbook to remind yourself of the rules you have learned. I
would prefer if you complete your work on graph paper, but if you don’t have any, blank paper is fine. Please do not
use lined paper.
The answers to these problems can be found at the bottom of the sheet. All answers are missing their units and are
not matched to specific questions. The answers are there simply so that you can tell if the answer you have obtained
is on track.
All work should be shown, and all sheets should have your name and group number written on them. This work is
due on the Wednesday upon return from March break. If you are really struggling, please come see Ms. Ward or Ms.
Howard on Monday or Tuesday!
1) The volume of a sphere is
58cm³. What is the radius of the
sphere?
2) A cone is 6.4cm high. It has a
volume of 150cm³. Calculate the
radius of the cone.
3)a) Find total
volume of this
shape
4)a) Find the
total volume
of this shape
b) Find the
surface area
of this shape
b) Find the
surface area of
this shape
5)a) Find total volume of this
shape
b) Find the surface area of this
shape
6) A cone is formed from a semicircular sheet of foil. The foil has a
diameter of 10cm. Find:
a) The radius of the base of the
cone.
b) The volume of the cone.
7) A child’s toy is made from a cone with base 3cm and height 4cm
joined to a hemisphere with a radius 3cm.
a) Calculate the volume of the top.
b) Calculate the total surface area.
Answers: There are no units so you need to add them on!
Remember to show working out & use your formulae correctly!
2.40 160 91.6 94.2
2.5
170 4.73 53.2
117 28.3 33.5 104
Answers: There are no units so you need to add them on!
Remember to show working out & use your formulae correctly!
2.40 160 91.6 94.2
2.5
170 4.73 53.2
117 28.3 33.5 104