Math, asked by akshayprakash37862, 7 months ago

find the TSA and volumes of the following figure.​

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Answers

Answered by atharvsgujare000
5

94.245 cm^3

Step-by-step explanation:

Volume of given figure=Volume of cone+Volume of hemisphere

Volume of Cone=1/3πr^2h

=1/3×22/7×3×3×4

=22/7×12

=3.1415×12

=37.698 cm^3

Volume of hemisphere=2/3πr^3

=2/3×22/7×3×3×3

=2×3.1415×9

=56.547cm^3

Volume of given figure=37.698+56.547

=94.245cm^3

Answered by ExᴏᴛɪᴄExᴘʟᴏʀᴇƦ
12

\huge\sf\pink{Answer}

☞ TSA is 103.72 cm² & Volume is 94.29 cm³

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\huge\sf\blue{Given}

✭ Height of the cone = 4 cm

✭ Radius of cone = 3 cm

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\huge\sf\gray{To \:Find}

◈ TSA & Volume of the cone?

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\huge\sf\purple{Steps}

So in the cone we are given the height and we have to find the slant height, which can be found by,

»» \sf l = \sqrt{r^2+h^2}

»» \sf l= \sqrt{3^2+4^2}

»» \sf l = \sqrt{9+16}

»» \sf l = \sqrt{25}

»» \sf \green{l = 5 \ cm}

Remaining answer has been Attached!!

\sf\star\: Diagram \:\star

\setlength{\unitlength}{1cm}\begin{picture}(6, 4)\linethickness{0.26mm}\qbezier(5.8,2.0)(5.8,2.3728)(4.9799,2.6364)\qbezier(4.9799,2.6364)(4.1598,2.9)(3.0,2.9)\qbezier(3.0,2.9)(1.8402,2.9)(1.0201,2.6364)\qbezier(1.0201,2.6364)(0.2,2.3728)(0.2,2.0)\qbezier(0.2,2.0)(0.2,1.6272)(1.0201,1.3636)\qbezier(1.0201,1.3636)(1.8402,1.1)(3.0,1.1)\qbezier(3.0,1.1)(4.1598,1.1)(4.9799,1.3636)\qbezier(4.9799,1.3636)(5.8,1.6272)(5.8,2.0)\put(0.2,2){\line(1,0){5.6}}\put(3,2){\line(0,2){4.5}}\put(1.5,1.7){\sf{3 cm}}\qbezier(.2,2.05)(.7,3)(3,6.5)\qbezier(5.8,2.05)(5.3,3)(3,6.5)\put(2,4){\sf 4 cm}\put(3,2.02){\circle*{0.15}}\put(2.7,2){\dashbox{0.01}(.3,.3)}\put(0.5,4){\sf 5 cm}\qbezier(0.2,2)(2.9,-2)(5.8,2)\end{picture}

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