Question

the curved surface of cylindrical pilaar is 264 and volimr is 924m . find its diameter
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Answer 1

Correct Question :

The curved surface of cylindrical pillar is 264m² and volume is 924m³. Find it's diameter.

To Find,

• The diameter of the pillar

Solution,

Given that,

• Curved surface area of cylindrical pillar = 264m²
• Volume of pillar = 924m³

Let us assume the radius as r metre,

As we know that,

$\sf{ \underline{Curved \: surface \: area \: of \: cylinder} = 2\pi \: rh \: \: \: \: \: \: ..... \: equation \: 1}$

$\sf{ \underline{Volume \: of \: cylinder} \: = \pi \: {r}^{2}h} \: \: \: \: \: \: \: \: .... \: equation \: 2$

On dividing equation 2 by equation 1, we can get the radius of cylinder,

$\sf{\longrightarrow \: \dfrac{\pi \: {r}^{2}h}{2\pi \: rh}= \: \dfrac{924}{264}} \\ \\ \\ \sf{\longrightarrow \: \dfrac{ \cancel{\pi} \: {r}^{2}h}{2 \cancel{\pi} \: rh}= \: \dfrac{924}{264}} \\ \\ \\ \sf{\longrightarrow \: \dfrac{{r}^{2} \cancel{h}}{2r \cancel{h}}= \: \dfrac{924}{264}} \\ \\ \\ \sf{\longrightarrow \: \dfrac{\cancel{ {r}^{2} }}{2 \: \cancel{r}} \: = \dfrac{924}{264}} \\ \\ \\ \sf{\longrightarrow \: \dfrac{r}{2} = \: \dfrac{924}{264}} \\ \\ \\ \sf{\longrightarrow \: r = \bigg( \dfrac{2 \times 924}{264} \bigg)} \\ \\ \\ \sf{\longrightarrow \: r = \: \dfrac{1848}{264}} \\ \\ \\ \sf{\longrightarrow \: r = \: \cancel{ \dfrac{1848}{264}}} \\ \\ \\ \bf{ \longrightarrow \: 7m \: \: \: \: \: \: \: \: \bigstar}$

The radius of Cylinder is 7m, therefore diameter is,

As we know that,

$\dag \: \: \underline{ \boxed{ \red{\sf{Diameter \: = \: Radius \: \times \: 2}}}}$

Therefore,

$\longrightarrow \: \sf{Diameter \: = \: 7m \: \times 2 \: \: \: \: \: \: } \\ \\ \longrightarrow \: \bf{Diameter \: = \: 14m} \: \: \: \: \bigstar$

The diameter of Cylindrical pillar is 14m.

Required Answer :

• The diameter of cylindrical pillar is 14m.

Answer 2

Answer:

plsssssss follow.....

hope u are satisfied with my answer...

Step-by-step explanation:

CSA----curved surface area

D----diameter

V----volium

we have---->

CSA of cylindrical pillar =264

V=924m

d=?

formula of------->

CSA of cylinder=2Πr²h

Volume of cylinder=Πr²h

by this u get the answer........and don't forgot to mark the unites...