6cm 1) find the area of this circle: a)28.3cm² b)113.1cm² c) 37.7cm² d) 18.8 cm² 6cm a)28.3cm²...
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6cm
1) Find the area of this circle:
A) 28.3cm²B) 113.1cm²C) 37.7cm²D) 18.8 cm²
6cmA) 28.3cm²B) 113.1cm²C) 37.7cm²D) 18.8 cm²
6cm
1) Find the area of this circle:
Area = r² = x 3² = 28.3 cm² ( to 1 d.p.)
A) 28.3cm²B) 113.1cm²C) 37.7cm²D) 18.8 cm²
6cmA) 28.3cm²B) 113.1cm²C) 37.7cm²D) 18.8 cm²
2) Find the area of this circle:
10cm
A) 314.2 cm²B) 31.4 cm²C) 78.5 cm²D) 15.7 cm²
2) Find the area of this circle:
10cm
A) 314.2 cm²B) 31.4 cm²C) 78.5 cm²D) 15.7 cm²
3) Find the area of this circle. Leave your answer in terms of :
8cm
A) 8 cm²B) 64 cm²C) 4 cm²D) 16 cm²
3) Find the area of this circle. Leave your answer in terms of :
8cm
A) 8 cm²B) 64 cm²C) 4 cm²D) 16 cm²
CylindersCylinders
Aim: to calculate the volume and surface area 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)
Surface Area of a CylinderSurface 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
June 2008 Higher Calculator Paper
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