Math, asked by shreymehta529, 1 month ago

The diameter of a cylinder is 28 cm and its height is 20 cm. Find its total surface area.​

Answers

Answered by happeninghomo
0

Answer:

2992 cm = 29.92 m

Step-by-step explanation:

Radius = Diameter / 2 = 28/2 = 14cm

tsa \: of \: a \: cylinder  = 2\pi  \times r(r + h)

=>tsa = (2 x 22 x 14)(14 + 20)/7 = 2992 cm

Answered by IntrovertLeo
5

Given:

A cylinder with -

  • Diameter = 28 cm
  • Height = 20 cm

What To Find:

We have to find -

  • The total surface area.

Formula Needed:

\bf \mapsto TSA =  2 \pi r^2 + 2 \pi rh

Where -

  • TSA = Total surface area.
  • R = radius
  • H = Height

Solution:

  • Finding the radius.

We know that -

\sf \mapsto R = \dfrac{Diameter}{2}

Substitute the value,

\sf \mapsto R = \dfrac{28}{2}

Divide 28 by 2,

\sf \mapsto R = 14 \: cm

  • Finding the TSA.

Using the formula,

\sf \mapsto TSA =  2 \pi r^2 + 2 \pi rh

Substitute the values,

\sf \mapsto TSA =  2 \times \dfrac{22}{7} \times  14 \times 14 + 2 \times \dfrac{22}{7} \times 14 \times 20

Multiply 14 with 14,

\sf \mapsto TSA =  2 \times \dfrac{22}{7} \times  196 + 2 \times \dfrac{22}{7} \times 14 \times 20

Multiply 14 with 20,

\sf \mapsto TSA =  2 \times \dfrac{22}{7} \times  196 + 2 \times \dfrac{22}{7} \times 280

Cancel 7 and 196,

\sf \mapsto TSA =  2 \times 22 \times 28 + 2 \times \dfrac{22}{7} \times 280

Cancel 7 and 280,

\sf \mapsto TSA =  2 \times 22 \times 28 + 2 \times 22 \times 40

Multiply 2, 22, and 28,

\sf \mapsto TSA =  1232 + 2 \times 22 \times 40

Multiply 2, 22, and 40,

\sf \mapsto TSA =  1232 + 1760

Add 1232 and 1760,

\sf \mapsto TSA =  2992 \: cm^2

Final Answer:

∴ Thus, the total surface area of the cylinder is 2992 cm².

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