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3 years ago

7

Simplify the fraction below leaving your answer as a fraction where both the numerator and denominator are positive integers. 3⁹

÷3⁵÷9³×3

1 answer:

Vaselesa [24]3 years ago

6 0

Answer:

1/27

Step-by-step explanation:

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the diameter of a cylinder is 8 inches. the height is 12 inches. what is the surface area of the cylinder?

Ivenika [448]

<u>Answer:</u>

$\boxed{\boxed{\pink{\tt \leadsto The \ Surface\ Area \ is \ 402.28\ in.^3. }}}$

<h3><u>Step-by-step explanation:</u></h3>

Given that the the diameter of a cylinder is 8 inches. the height is 12 inches. And we need to find its surface area .

Hence here ,

Height = 12 inches
Diameter of base = 8 inches

<u>Figure</u><u> </u><u>:</u><u>-</u>

$\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{4\ in.}}\put(9,17.5){\sf{12\ in.}}\end{picture}$

$\bf\implies TSA_{Cylinder}= 2\pi r ( r + h) \\\\\bf\implies TSA_{Cylinder} = 2\pi \dfrac{8\ in.}{2} \bigg( \dfrac{8\ in.}{2} + 12 in.\bigg)\\\\\bf\implies TSA_{Cylinder} = 2\pi \times 4 ( 4 \ in.+ 12 \ in.) \\\\\bf\implies TSA_{Cylinder}= 8 \times \dfrac{22}{7}\times 16 in.^3 \\\\\bf\implies\boxed{\red{\bf TSA_{cylinder}= 402.28 in.^3}}$

<h3><u>★</u><u> </u><u>Hence</u><u> </u><u>the</u><u> </u><u>Surface</u><u> </u><u>area</u><u> </u><u>of </u><u>the </u><u>Cylinder</u><u> </u><u>is</u><u> </u><u>4</u><u>0</u><u>2</u><u>.</u><u>2</u><u>8</u><u> </u><u>in</u><u>.</u><u>³</u><u> </u><u>.</u></h3>

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Step-by-step explanation:

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Step-by-step explanation:

You must use its formula: which is

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