Question

Q. 16 If the radius of a hemisphere is 3r
cm, then its volume is
А
56.52 r3
B
113.04 r3
с
2.09r
D
4.04 r3​

Answer 1

Answer:

113,04 r3 (b)if the of hemisphere is 3r cm them it's volume is

Answer 2

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GIVEN :-

❍ Radius of a hemisphere is 3r cm.

TO FIND :-

❍ Volume of a hemisphere.

DIAGRAM :-

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(-2.3,0)(-2.121,0)(0,0)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0,0.12){\bf 3r cm}\end{picture}$

FORMULA :-

$\underline{\boxed{\sf\green{Volume \:of \:a \:hemisphere\: = \:\red{\dfrac{2}{3}\pi r^3 }}}}\:\orange\bigstar$

SOLUTION :-

Putting all values in the formula :-

➪ $\sf\:\:\:{\dfrac{2}{3}\:\times\:\dfrac{22}{7}\:\times\:(3r)^3}$

➪ $\sf\:\:\:{\dfrac{2}{3}\:\times\:\dfrac{22}{7}\:\times\:3r\:\times\:3r\:\times\:3r}$

➪ $\sf\:\:\:{\dfrac{44}{21}\:\times\:27r^3}$

➪ $\sf\:\:\:{\dfrac{44}{21}\:\times\:27\:\times\:r^3}$

➪ $\sf\:\:\:{\dfrac{44}{\cancel{21}}\:\times\:\cancel{27}\:\times\:r^3}$

➪ $\sf\:\:\:{\dfrac{44}{7}\:\times\:9\:\times\:r^3}$

➪ $\sf\:\:\:{\dfrac{396}{7}\:\times\:r^3}$

➪ $\sf\:\:\:{\cancel{\dfrac{396}{7}}\:\times\:r^3}$

➪ $\sf\:\:\:{56.57\:\times\:r^3}$

➪ $\:\:\:\boxed{\sf{56.57\:r^3}}\:\pink\bigstar$

$\underline {\boxed {\sf {\therefore \green { (A) \:56.52\: r^3\:(approx)\:is \:correct\:option}}}}\:\red\bigstar$

☯ NOTE ☯

◍ Dear user if you are not able to see the diagram from app. Kindly please see it from the the site (brainly.in). It will be correctly displayed there.

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