Question

${\boxed {\LARGE{\mathfrak {Question:-}}}}$

The volume of a cylinder is 9504cm $^3$. Its LSA (Lateral surface area) is 1584 cm $^2$. Find its height. ​

Answer 1

Given:-

• volume of cylinder = 9504cm³
• LSA(lateral surface area) = 1584cm².

To Find:-

• height of cylinder.

Solution:-

• BASE AREA = 1584 cm²
• VOLUME = 9504 cm³

Using the formula,

→ V = Aᵇ h

Solving for h

→ h = V/Aᵇ

• → 9504/1584
• → 6cm

Therefore,height of cylinder is 6cm.

Answer 2

Answer:

• 6 cm

Step-by-step explanation:

Given

• Volume of cylinder = 9504 cm³
• Lateral surface area / base area
• or Length × Breadth = 1584 cm²

To find

• Height of cylinder

Solution

⇨ Volume of cylinder = base area × height

⇨ Volume of cylinder = lateral surface area × height

• 9504 = 1584 × height
• height = 9504/1584
• height = 6

⇨ Hence, the height of cylinder is 6 cm.

Verification

• Volume = Length × Breadth × Height
• 9504 = 1584 × 6
• 9504 = 9504
• L.H.S = R.H.S