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Yuliya22 [10]
3 years ago
10

The fomula for the surface area, S, of a cylinder, is S = 2nr2 2nrh, where his the height of the cylinder, and r is the radius o

f the base of the cylinder.
Mathematics
1 answer:
Kruka [31]3 years ago
4 0

Answer:

S = 2πr² + 2πrh = 2πr(r + h)

Step-by-step explanation:

The formula for the surface area of a cylinder is the sum of the area of the base and the lateral faces.

Mathematically,

surface area = base area + lateral area

A cylinder has 2 base which are circular therefore, the sum of the area of the base is πr² + πr² = 2πr².

The lateral area is the curved surface area of the cylinder which is the multiplication of the height and the circumference .  

curved surface area = h × circumference = 2πrh

surface area = 2πr² + 2πrh = 2πr(r + h)

S = 2πr² + 2πrh = 2πr(r + h)

The surface area can be calculated if you know the height of the cylinder and the radius. example r = 5 m and h = 10 m

Using the formula

S = 2πr² + 2πrh = 2πr(r + h)

S= 2 × π × 5(5 + 10)

S = 10π(15)

S = 150π m²

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Answer:

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Step-by-step explanation:

a. Based on the Triangle Proportionality Theorem:

\frac{2x - 2}{13} = \frac{21 - 7}{7}

\frac{2x - 2}{13} = \frac{14}{7}

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Cross multiply

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2x = 26 + 2

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Divide both sides by 2

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b. Perimeter of ∆QRS = RQ + QS + RS = (2x - 2) + 13 + 17 + (21 - 7) + 7

Plug in the value of x

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In this case;

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