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Nastasia [14]
3 years ago
8

Find the total surface area of a cylinder with a height of 8 cm and radius of 4 cm. Leave your answer in terms of π.

Mathematics
2 answers:
Sav [38]3 years ago
7 0

Answer:

96π cm²

Step-by-step explanation:

Use the formula for the surface area of a cylinder:

A = 2πrh + 2πr²

Plug in the height and radius, and solve:

A = 2π(4)(8) + 2π(4)²

A = 2π(32) + 2π(16)

A = 64π + 32π

A = 96π

So, the surface area of the cylinder is 96π cm²

kvasek [131]3 years ago
7 0
<h3>G I V E N : </h3>

Find the total surface area of a cylinder with a height of 8 cm and radius of 4 cm. Leave your answer in terms of π.

<h3>S O L U T I O N :</h3>

According to the question, here we have to find out the T.S.A. or the total surface area of the cylinder using a certain formula then put the respective values and get the result in terms of π

  • T.S.A. of Cylinder = 2πr(h + r)

Here,

r represents <u>radius</u>

h represents <u>height</u>

<u>Given Data</u> :

Height = 8 cm

Radius = 4 cm

Using the formula we get

  • T.S.A. = 2π × 4 cm(8 cm + 4 cm)

  • T.S.A. = 8π cm(12 cm)

  • T.S.A. = 96π cm²

Henceforth, the required answer is 96π cm²

<u>2</u><u>N</u><u>D</u><u> </u><u>OPTION </u><u>IS </u><u>CORRECT </u><u>i.e</u><u>. </u><u>9</u><u>6</u><u>π</u><u> </u><u>cm²</u>

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