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1. Yang Jing Loo 0323066 2. Soo Yon Li 0322821 3. Goh Song Kit 0322013 4. Cherilyn Chia 0321986 5. Chan Yi Fung 0323057 6. Lim Hong Wei 0322741

Maths slides

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Page 1: Maths slides

1. Yang Jing Loo 03230662. Soo Yon Li 03228213. Goh Song Kit 03220134. Cherilyn Chia 03219865. Chan Yi Fung 03230576. Lim Hong Wei 0322741

Page 2: Maths slides

- It has 2 circular faces (top & bottom)

- It has one curved side

- It is not a polyhedron as it has a curved surface

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Surface Area = 2πr(r+h)

Which is made up of:

Surface area of circular base = πr² Surface area of curved surface = 2πr

x h

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Surface Area = 2πr(r+h) = 2π(2)

(2+7) = 2π(2)(9) = 36π ≈ 113.097

If the height(h) is 2, and the radius(r) is 7, find the surface area of the cylinder.

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Volume = πr²hJust multiply the area of the base by the height of the

cylinder:

- Area of the base: πr²

- Height: h

- Volume = Area × Height = πr² x h

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How to remember: Volume = pizza

Imagine that you just made a pizza,

z = radius, a = height, find the volume of the pizza.

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Volume = πr² x hVolume = 22/7(2²)(6)= 75.429cm³

Given that the radius is 2 and a height is 6, find the volume.

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Volume= πr² x hVolume =22/7(3²)(5)=141.428cm³

What is the volume of the cylinder with a radius of 3 and a height of 5?

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What is a circle?•A circle is a type of line. •The distance between any points and the centre is called the radius. •Diameter of a circle is any straight line that passes through the center of the circle and whose endpoints lie on the circle.

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π = 22/7 or 3.142 r = is the radius of the circle

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1. Calculate the area of the circle when the radius of the circle is 7cm

2. Calculate the radius when the area of the circle is 113.10cm

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1. π x 7² = 153.94cm²2. πr² = 113.10cm² r² = 113.10/π r² = 36 r = √36 r = 6cm

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Find the area of sector AOB.

Solution:

Area AOB= ½ x 450² x 2π/3 rad. = 212057.5 m²

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Find the area of sector AOB

Solution:

AOB in radian=(∏/180) x 120= 2.094 rad.

Area AOB = ½ x 4² x 2.094 = 16.755cm²

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