Math, asked by luvkookie18, 6 hours ago

Q.Find the surface area and volume of a solid in the form of right circular cylinder with hemisperical end if the whole length is 22 cm and radius of the cylinder is 3 cm.
take  \:  \: (   \pi  = 3.14)
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Answers

Answered by hifjulbarbhuiya718
0

Answer:

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Answered by sanvi7031
44

\huge\mathtt\orange{Solution:-}

Let r & h be the radius & height of the Cylinder respectively.

So,

r = 3cm

h = 22-2(3)=16cm

\:

Volume of solid = Volume of Cylinder + volume of two hemispheres.

 = \pi \: r {}^{2} h  + 2 (\frac{2\pi}{3} r {}^{3} )

 = \pi \times  {3}^{2}  \times 16 +  \frac{4\pi}{3}  \times  {3}^{3}

 = 565.71 \:  {cm}^{3}

 \\

TSA = CSA of Cylinder + SA of two hemispheres

 = 2\pi \: rh + 2(2\pi {r}^{2} ) \\  = 2\pi \: r(h + 2r)

 = 2\pi \times 3(16 + 6)

 = 6 \times 3.14 \times 22

 = 414.85 \: cm {}^{2}

\:

Note: π Taken as 3.14.

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