Question

The lateral surface area of a cylinder is 94.2 cm² and its height is 5 cm .[Take π = 3.14]
Find :
(i) the radius of its base
(ii) its volume

he is abhishek ​

Answer 1

Given:-

• Lateral surface area(LSA) = 94.2cm²
• Height = 5cm

To Find:-

• Radius of it's base.
• It's volume

Formula used:-

$\large \blue{\underline{ \green{ \boxed{\bf{ \maltese \red{Lateral \: surface \:area_{cylinder} = 2\pi rh}}}}}}$

$\large \blue {\underline{ \green{ \boxed{\bf{ \maltese \red{Volume _{cylinder} = \pi {r}^{2} h}}}}}}$

Solution:-

We can use the Lateral surface area of cylinder to find Lateral surface area of cylinder.

$\large\underline{\bf{ \longmapsto2\pi rh = 94.2 {cm}^{2} }}$

$\large\underline{\bf{ \longmapsto2 \times 3.14 \times r \times 5cm = 94.2 {cm}^{2} }}$

$\large\underline{\bf{ \longmapsto r = \frac{94.2 }{ 3.14\times 5 \times 2} }}$

$\large \blue{\underline{ \green{ \boxed{\bf{ \red{ \implies3cm}}}}}}$

Now we have to find the volume of cylinder.

$\large\underline{\bf{ \longmapsto3.14 \times {(3cm)}^{2} \times 5 }}$

$\large\underline{\bf{ \longmapsto 3.14 \times 9cm^2 \times 5cm}}$

$\large \green{\underline{ \blue{ \boxed{\bf{ \pink{ \implies141.3 {cm}^{3} }}}}}}$

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Answer 2

Answer:

isha

Step-by-step explanation:

which I'd in aatmagyan