Question

find the volume..................

Answer 1

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$vol \: of \: cone \: = \pi {r}^{2} \frac{h}{3}$

$v = 3.14 \times {5}^{2} \times \frac{5}{3} \\ v = 3.14 \times 25 \times \frac{5}{3} \\ v = 130.9$

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Answer 2

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Given:

• height of cone = 5 units
• radius of cone = 5 units
• $\pi$ = 3.14

To find:

• Volume of cone

Solution:

$\\ \setlength{\unitlength}{1.2mm}\begin{picture}(5,5)\thicklines\put(0,0){\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\put(-0.5,-1){\line(1,2){13}}\put(25.5,-1){\line(-1,2){13}}\multiput(12.5,-1)(2,0){7}{\line(1,0){1}}\multiput(12.5,-1)(0,4){7}{\line(0,1){2}}\put(18,1.6){\sf{5}}\put(9.5,10){\sf{5}}\end{picture}$

Volume of cone = $\dfrac{1}{3}*\pi*r^2*h$

Volume of cone = $\dfrac{1}{3}*3.14*5^2*5$

Volume of cone = $\dfrac{3.14*125}{3}$

Volume of cone = 130.8333

Volume of cone $\approx 130.8$

So,the volume of the cone is 130.8 units cube.

Formula Used:

• Volume of cone = $\dfrac{1}{3}*\pi*r^2*h$

Learn More:

• Volume of cylinder = πr²h

• T.S.A of cylinder = 2πrh + 2πr²

• Volume of cone = ⅓ πr²h

• C.S.A of cone = πrl

• T.S.A of cone = πrl + πr²

• Volume of cuboid = l × b × h

• C.S.A of cuboid = 2(l + b)h

• T.S.A of cuboid = 2(lb + bh + lh)

• C.S.A of cube = 4a²

• T.S.A of cube = 6a²

• Volume of cube = a³

• Volume of sphere = (4/3)πr³

• Surface area of sphere = 4πr²

• Volume of hemisphere = ⅔ πr³

• C.S.A of hemisphere = 2πr²

• T.S.A of hemisphere = 3πr²