Question

what is the volume of a cylinder tank with height of 5 meters and base area of 10 pi

Answer 1

Answer:

1098.41 m²

Step-by-step explanation:

Given:

• Height of cylinder = 5 metres
• Base area of cylinder = 10 π m

To find:

• Volume of cylinder = ?

Solution:

The Base of a cylinder is a circle.

So, the Area of circle = 10 π

⇒ πr² = 10

⇒ r² = 10

⇒ r = √10

⇒ Radius = 3.16 m

Volume of cylinder = πr²h

⇒ Volume of cylinder = 22/7 × (3.16)² × 5

$\Rightarrow \sf{Volume\: of \: cylinder = \dfrac{22 \times 3.16 \times 3.16 \times 5}{7}}$

∴ Volume of cylinder = 1098.41 m²

EXTRA INFORMATION:

• TSA of cylinder = 2πr (r + h)
• CSA of cylinder = 2πrh

Answer 2

Answer:

Answer:

1098.41 m²

Step-by-step explanation:

Given:

Height of cylinder = 5 metres

Base area of cylinder = 10 π m

\begin{gathered}\\\end{gathered}

To find:

Volume of cylinder = ?

\begin{gathered}\\\end{gathered}

Solution:

The Base of a cylinder is a circle.

So, the Area of circle = 10 π

⇒ πr² = 10

⇒ r² = 10

⇒ r = √10

⇒ Radius = 3.16 m

\begin{gathered}\\\end{gathered}

Volume of cylinder = πr²h

⇒ Volume of cylinder = 22/7 × (3.16)² × 5

\begin{gathered}\Rightarrow \sf{Volume\: of \: cylinder = \dfrac{22 \times 3.16 \times 3.16 \times 5}{7}}\\\\\end{gathered}

⇒Volumeofcylinder=

7

22×3.16×3.16×5

∴ Volume of cylinder = 1098.41 m²

\begin{gathered}\\\end{gathered}

EXTRA INFORMATION:

TSA of cylinder = 2πr (r + h)

CSA of cylinder = 2πrh