Math, asked by birendra3, 1 year ago

plz solve this question

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Answered by rishitha8
1
according to question,

volume of cylinder
\pi {r}^{2} h = 150\pi

 {r}^{2} h = 150

 {r}^{2} \times 6 = 150

 {r}^{2} = 25

r=5

LSA of cylinder

2\pi {r} h

2×22/7×5×6

=188.57 sq. cm

TSA

2*pie*r (h+r)

2×22/7×5 (6+5)

220/7×11

345.71

:-)hope it helps u.
Answered by BloomingBud
7
Hello............ ^_^

Here is your answer....

Given :- volume of cylinder = 150π cm cube.
height = 6cm

Volume =\pi {r}^{2} h \\ \\ = \pi {r}^{2} h = 150\pi \\ \\ = {r}^{2} h = \frac{150\pi}{\pi} \\ \\ = {r}^{2} h = 150 \\ \\ = {r}^{2} \times 6 = 150 \\ \\ = {r}^{2} = \frac{150}{6 } \\ \\ = {r }^{2} = 25 \\ \\ = r = \sqrt{25} \\ \\ r = 5cm
<br /><br /><br /><br />T.S.A(Total Surface Area) = \: 2\pi \: r(r + h) \\ = 2 \times \frac{22}{7} \times 5(5 + 6) \\ \\ = \frac{44}{7} \times 5(11) \\ \\ = \frac{220}{7} \times 11 \\ \\ = \frac{2420}{7} \\ \\ = 345.71 {cm}^{2}



C. S. A (Curved Surface Area) = 2\pi \: rh \\ = 2 \times \frac{22}{7} \times 5 \times 6 \\ \\ = \frac{44}{7} \times 30 \\ \\ = \frac{1320}{7} \\ \\ = 188.57 {cm}^{2}

Hope it helps............ ^_^
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