Question

The curved surface area of a right circular cylinder of height 14cm is 88cm². Find the diameter of the base of the cylinder from lines and angles
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Answer 1

Answer: PLEASE MARK ME AS BRAIN LIST

Step-by-step explanation:

Answer 2

Answer:

Given :-

Height of cylinder = 14 cm

CSA of cylinder = 88 cm²

To Find :-

Diameter

Solution :-

As we know that

$\frak \red{{CSA = 2\pi} rh}CSA=2πrh$

Here,

R is the Radius

H is the Height

π is the 22/7

$\tt \implies \: 88 = 2 \times \dfrac{22}{7} \times r \times 14⟹88=2× </p><p>7</p><p>22</p><p> </p><p> ×r×14$

$\tt \implies \: 88 = 2 \times 22 \times r \times 2⟹88=2×22×r×2</p><p>$

$\tt \implies \: r = \cancel \dfrac{88}{88}⟹r= </p><p>88</p><p>88</p><p> </p><p>$

$\tt \implies \: 88 = 88r⟹88=88r$

$\tt \implies \: r = 1 \: cm⟹r=1cm$

Now,

Let's find Diameter

$\frak \blue{Diameter \: = Radius \times 2}$

$\tt \implies \: Diameter = 1 \times 2⟹Diameter=1×2$

$</p><p></p><p>{\frak\red{Diameter = 2 \: cm}}$

Hence :-

Diameter of its base is 2 cm