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nignag [31]
3 years ago
14

Find the surface area of the cone. Round your answer to the nearest tenth..

Mathematics
1 answer:
Leona [35]3 years ago
4 0

Answer:

S.A. = 15.7

Step-by-step explanation:

S. A. = \pi r^{2} + \pi rl

1 x 1 x 3.14 = 3.14

3.14 x 1 x 4 = 12.56

12.56 + 3.14 = 15.7

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\sf\purple{The\:radius\:of\:the\:cylinder\:is\:approximately \:28 \:ft.}

<h2><u>Given</u>:-</h2>

\sf\blue{Height\:of\:the\:cylinder\:(h) } = 10 ft.

\sf\pink{Volume\:of\:the\:cylinder} = 25,456 ft³.

<h2><u>To </u><u>find</u>:-</h2>

\sf\purple{The\:radius\:of\:the\:cylinder.}

<h2><u>Step</u>-<u>by</u>-<u>step</u> <u>explanation</u>:-</h2>

We know that,

\sf\red{Volume\:of\:a\:cylinder} =\pi {r}^{2} h \\  ✒ \: 25456  \: {ft}^{3}  = \pi {r}^{2}  \times 10 \: ft \\  \: ✒ \:  {r}^{2}  =  \frac{25456 \times 7 \:  {ft}^{3} }{22 \times 10 \: ft}  \\ ✒ \:  {r}^{2}  \:  =  \frac{178192 \:  {ft}^{2} }{220}  \\  \:  ✒ \: {r}^{2}  = 809.9636 \:  {ft}^{2}  \\  \:  ✒\: r \:  =  \sqrt{809.9636 \:  {ft}^{2} }  \\ ✒ \: r \:  = 28.45 \: ft

Hence, the radius of the cylinder is 28.45 feet.

\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘

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