Vol and SA of a cone homework due 11.5.17

Literacy
Research
Memory
Cone
Volume of cone =
What is a frustum of a cone?
Radius
r
Vertical height h
Slant height
l
1 2
r h
3
How would you find the volume of a
frustum?
Curved surface = πr l
area of cone
Volume
Curved surface area
Skills
Question 1
Give your answers correct to 3s.f.
Stretch
15cm
12 cm
a) Find the volume of the cone.
b) Find the curved surface area of the cone.
Question 2
Calculate the diameter of the cone correct to
3s.f.
9cm
c) Find the total surface area of the cone.
Question 3
10cm
10 cm
A cone has a curved surface area of 250 cm2
and a slanted height of 14cm.
8 cm
A cone has a volume of 175 cm3 and a vertical
height of 6cm.
Calculate the radius of the cone correct to 3s.f.
6cm
15cm
π.
Give your answers correct to 3s.f.
Leave your answers in terms of
a) Find the volume of the cone.
a) Find the volume of the cone.
b) Find the length of the slanted height.
b) Find the curved surface area of the cone.
c) Find the curved surface area of the cone.
c) Find the total surface area of the cone.
d) Find the total surface area of the cone.
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.