Question

Find volume and total surface area of cylinder whose radius is 7cm and height is 48cm

Answer 1

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Here is your answer-----

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Given---
  Radius of the Cylinder(r) =  7 cm.
  Height of the Cylinder(h) = 48 cm.

For Volume,

   Using the Formula,

      Volume = pie × r^2 × h
                   = (22/7) × 7 × 7 × 48
                   = 7392 cm^3

Thus, Volume of the Cylinder is 7392 cm^3.

For Total Surface Area,

Using the Formula,
   Total Surface Area  = 2 × pie × r(h +r)
                                     = 2 × (22/7) × 7(48 + 7)
                                     = 2 × (22/7) × 7(55)
                                     = 2 × (22/7) × 385
                                     = 2420 cm^2

Thus, the total surface area of the cylinder is 2420 cm^2.

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Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\therefore{\text{Volume\:of\:cylinder=7392\:cm}^{3}}}$

$\green{\therefore{\text{T.S.A\:of\:cylinder=2420\:cm}^{2}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{ \underline \bold{Given : }} \\ : \implies \text{Radius(r) = 7\: cm} \\ \\ : \implies \text{Height(h) = 48\: cm} \\ \\ \red{ \underline \bold{To \: Find : }} \\ : \implies \text{Volume \: of \: cylinder = ? }\\ \\ : \implies \text{T.S.A\: of \: cylinder = ? }$

• According to given question :

$\bold{As \: we \: know \: that} \\ : \implies \text{Volume\: of \: cylinder} =\pi r^{2}h \\ \\ : \implies \text{Volume\: of \: cylinder} = \frac{ 22}{7} \times {7}^{2}\times 48 \\ \\ : \implies \text{Volume\: of \: cylinder} =22 \times 7\times 48\\ \\ \green{ : \implies \text{Volume\: of \: cylinder} =7392 \: {cm}^{3}} \\ \\ \bold{As \: we \: know \: that} \\ : \implies \text{T.S.A\: of \: cylinder} =2\pi r(h + r) \\ \\ : \implies \text{T.S.A\: of \: cylinder} =2 \times \frac{22}{7} \times 7(48 + 7) \\ \\ : \implies \text{T.S.A\: of \: cylinder} =2 \times 22 \times 55 \\ \\ \green{ : \implies \text{T.S.A\: of \: cylinder}=2420 \: {cm}^{2} }$