Author: R.Davies

Cone
Radius r
Vertical height h
Slant height l
Volume
Curved surface area

Literacy

Research

What is a frustum of a cone?
How would you find the volume of a frustum?

Skills

Question 1

Give your answers correct to 3s.f.

15cm

12 cm

a) Find the volume of the cone.
b) Find the curved surface area of the cone.
c) Find the total surface area of the cone.

9cm

Question 2

Question 3

10 cm

10cm

8 cm

15cm

6cm

Give your answers correct to 3s.f.

Leave your answers in terms of π.

a) Find the volume of the cone.
b) Find the length of the slanted height.
c) Find the curved surface area of the cone.
d) Find the total surface area of the cone.

a) Find the volume of the cone.
b) Find the curved surface area of the cone.
c) Find the total surface area of the cone.

Memory

Volume of cone =

Curved surface area of cone

= πrl

A cone has a curved surface area of 250 cm2 and a slanted height of 14cm.
Calculate the diameter of the cone correct to 3s.f.

Stretch

A cone has a volume of 175 cm3 and a vertical height of 6cm.
Calculate the radius of the cone correct to 3s.f.

A cone has a curved surface area of 450 cm2 and has a slanted height of 16cm.
Calculate the volume of the cone correct to 3s.f.