6cm

1) Find the area of this circle:

6cm

6cm

1) Find the area of this circle:

Area = r² = x 3² = 28.3 cm²

6cmA) 28.3cm²

2) Find the area of this circle:

10cm

2) Find the area of this circle:

10cm 78.5 cm²

Area = r² = x 5² = 78.5 cm²

3) Find the area of this circle. Leave your answer in terms of :

8cm

3) Find the area of this circle. Leave your answer in terms of :

8cm16 cm²

Cylinders

Aim: to calculate the volume of a cylinder

A cylinder is a type of prism.

Volume of a prism = Area of a circle =

r²

Volume of cylinder

= r² h

Area of cross-section

x length/height

5cm

6cm

Volume of cylinder

= r² h

Calculate the volume of the cylinder:

Volume = x (2.5)² x 6

= 37.5 = 117.8 cm³ (to 1 dp)

10cm

13cm

Volume of cylinder

= r² h

Calculate the volume of the cylinder:

Volume = x 5² x 13

= 325 = 1021.0 cm³ (to 1 dp)

June 2008 Higher Calculator Paper

I don’t know how to calculate the volume and of a cylinder.

I think I know how to calculate the volume of a cylinder, but need more practice.

I know how to calculate the volume of a cylinder.

Surface Area of a Cylinder

Circumference = 2 r or d

Height (h)

d

h

Surface area of curved part of cylinder = d h

Surface area of curved part of cylinder = d h

Area of top circle = r²

Area of bottom circle = r²

Total Surface Area of a Cylinder =

d h + 2 r²

4cm

6cm

Calculate the total surface area of the cylinder:

Total Surface Area of a Cylinder =

d h + 2 r²

Surface Area = ( x 4 x 6) + (2 x x 2²) = 24 + 8

= 32

= 100.5 cm³ (to 1 d.p.)

8cm

10cm

Calculate the total surface area of the cylinder:

Total Surface Area of a Cylinder =

d h + 2 r²

Surface Area = ( x 8 x 10) + (2 x x 4²) = 80 + 32

= 112

= 351.9 cm³ (to 1 d.p.)

Page 105 – 106; Ex 4E

Q1, Q2a, Q3, Q5, Q6