Question

The curved surface area of a cylindrical pillar
is 528 m² and its volume is 2772 m. Find the
diameter and the height of the pillar.​

Answer 1

Answer:

$\large{\underline{\boxed{\sf Diameter = 21 \: m}}}$

$\large{\underline{\boxed{\sf Height = 8 \: m}}}$

Step-by-step explanation:

Given that ;

Curved surface area of cylindrical pillar is 528 m²

⇒ CSA of cylinder = 528

⇒ 2 π r h = 528

⇒ $\sf 2 * \dfrac{22}{7} * r * h$ = 528

⇒ r * h = $\sf \dfrac{528 * 7}{44}$

⇒ r * h = 84 .... (i)

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Also, it is given that the volume of cylinder is 2772 m.

⇒ Volume = 2772

⇒ π r² h = 2772

⇒ $\sf \dfrac{22}{7}$ * r * r * h = 2772

⇒ $\sf \dfrac{22}{7}$ * r * 84 = 2772 [From (i)]

⇒ 22 * 12 * r = 2772

⇒ r = $\sf \dfrac{2772}{22 * 12}$

⇒ r = 10.5 m

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Now, Substituting the value of r in the equation (i),

⇒ r * h = 84

⇒ 10.5 * h = 84

⇒ h = $\sf \dfrac{84}{10.5}$

⇒ h = 8 m

Hence, the height of cylindrical pillar is 8m.

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We know that,

Diameter = 2 * radius

⇒ D = 2 * 10.5

⇒ D = 21 m

Hence, the diameter of the cylindrical pillar is 21 m.

Answer 2

Answer:

See the picture above attached!!.

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Thanks for the question!