Question

Bit Find the volume of cylinder whose
radius of base = 7 height = 50 cm​

Answer 1

Question

↬ Find the volume of cylinder whose

radius of base = 7 height = 50 cm.

Answer

Given:-

$\large\pink\leadsto$Radius = 7 cm

$\large\pink\leadsto$Height = 50 cm

To Find:-

$\large\pink\leadsto$Volume of the cylinder = ?

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Let's Solve

Volume of the cylinder = π r² h

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ = 22/7 × 7 × 7×50

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ = 22 × 7 × 50

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 7700 cm³

Required Answer

Volume of the cylinder is 7700 cm³.

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More to know

$\large\purple\leadsto$Formulas Of cylinder:-

$\large\pink\leadsto$Volume of the cylinder = π r² h

$\large\pink\leadsto$Surface Area of cylinder = 2πrh + 2πr²

$\large\pink\leadsto$Lateral surface Area of cylinder = 2πrh

$\large\pink\leadsto$Base Area = πr²

Answer 2

${\boxed{\sf{Appropriate\:question}}}$

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎Find the volume of a cylinder whose radius of the base is 7 cm and height is 50 cm.

${\boxed{\sf{Step\:by\:step\: explanation}}}$

${\underline{\underline{\bf{Given:}}}}$

• Base radius of a cylinder = 7 cm.
• Height of the cylinder = 50 cm.

${\underline{\underline{\bf{Need\:to\:find:}}}}$

• The volume of the cylinder.

${\underline{\underline{\bf{Formula\:to\:be\:used:}}}}$

$\underline{\boxed{\sf{{Volume}_{[Cylinder]}=\pi{r}^{2}h\:cu.units}}}$

$\:\:\:\:\:\:\:\:\:\:\bullet{\sf{\:r=base\:radius}}$

$\:\:\:\:\:\:\:\:\:\:\bullet{\sf{\:h=height}}$

${\underline{\underline{\bf{Solution:}}}}$

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎The volume of the cylinder can be found by inserting the given measures of radius and height in the formula:

$\rightarrowtail{\sf{\pi{r}^{2}h\:cu.units}}$

Here, the value of $\sf{\pi}$ can be taken as $\sf{\dfrac{22}{7}}$. Let's do it !!

$\:\:\:\:\:\:\:\:\implies{\sf{\dfrac{22}{7}\times 7^2\times 50}}$

$\:\:\:\:\:\:\:\:\implies{\sf{\dfrac{22}{\cancel{7}}\times \cancel{7}\times 7\times 50}}$

$\:\:\:\:\:\:\:\:\implies{\sf{22\times 7\times 50}}$

$\:\:\:\:\:\:\:\:\implies{\sf{154\times 50}}$

$\:\:\:\:\:\:\:\:\implies{\frak{\red{\underline{\underline{7,700\:{cm}^{3}}}}}}$

${\underline{\underline{\bf{Required\:answer:}}}}$

• The volume of the cylinder is 7,700 cm³.

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${\boxed{\sf{Some\:related\: formulae}}}$

$\:\:\:\:\:\:\:\:\sf{\bullet\:{TSA}_{[Cylinder]}=2\pi r(h+r)\:sq.units}$

$\:\:\:\:\:\:\:\:\sf{\bullet\:{CSA}_{[Cylinder]}=2\pi rh\:sq.units}$

$\:\:\:\:\:\:\:\:\sf{\bullet\:{Volume}_{[Cone]}=\dfrac{1}{3}\pi r^2h\:cu.units}$

$\:\:\:\:\:\:\:\:\sf{\bullet\:{TSA}_{[Cone]}=\pi r(l+r)\:sq.units}$

$\:\:\:\:\:\:\:\:\sf{\bullet\:{CSA}_{[Cone]}=\pi rl\:sq.units}$

$\:\:\:\:\:\:\:\:\sf{\bullet\:{Volume}_{[Sphere]}=\dfrac{4}{3}\pi{r}^{3}\:cu.units}$

$\:\:\:\:\:\:\:\:\sf{\bullet\:{TSA}_{[Sphere]}=4\pi r^2\:sq.units}$