Math, asked by richardraaj007, 5 months ago

find the volume of a solid hemisphere whose radius is 3cm​

Answers

Answered by jackzzjck
6

Answer:

18πcm³ or 56.57cm³(Approximately ) is the Volume of Hemisphere whose radius is 3cm​.

SOLUTION

It is given in the question that the radius of a solid hemisphere = 3cm.

\setlength{\unitlength}{1.2cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(0,-1)(2.3,0)\qbezier(-2.3,0)(0,1)(2.3,0)\thinlines\qbezier (0,0)(0,0)(0.2,0.3)\qbezier (0.3,0.4)(0.3,0.4)(0.5,0.7)\qbezier (0.6,0.8)(0.6,0.8)(0.8,1.1)\qbezier (0.9,1.2)(0.9,1.2)(1.1,1.5)\qbezier (1.2,1.6)(1.2,1.6)(1.38,1.9)\put(0.2,1){\bf 3\;cm}\end{picture}

We know the formula of volume of hemisphere .

\boxed {\sf Volume\: of \: hemisphere = \dfrac{2}{3}  * \pi  * r^3}

Putting value of  r = 3cm .

\sf Volume = \dfrac{2}{3} *\pi * 3^3

\sf Volume = \dfrac{2}{3} *\pi* 27

\bigstar 27 divided by 3 gives 9

\sf Volume = 2 * 9 * \pi

\sf Volume = 18 \pi cm^3

Now , If we want we cant substitute π = 22/7 , then

\sf Volume = 18 * \dfrac{22}{7}

\sf Volume = \dfrac{396}{7}

\red\bigstar Volume = 56.57cm³ (Approximately)

♢Formulas of Surface Area of Hemisphere

Curved Surface Area ( CSA ) = 2πr²

Total  Surface Area ( TSA ) = 3πr²

♢VOLUMES OF FIVE MORE SHAPES♢

\bigstar Cuboid

Volume =  l × b × h

\bigstar Cube

Volume =  a³

\bigstar Cylinder

Volume = π×r²×h

\bigstarCone

\sf Volume = \pi r^2 * \dfrac{h}{3}

\bigstar Sphere

\sf Volume = \dfrac{4}{3} \pi r^3


Aryan0123: Perfect
jackzzjck: Thanks
Answered by ck3308622
1

Answer:

Step-by-step explanation:

Similar questions