Question

The volume of a cylindrical can is 1.54 liters and area of its base is 77 cm square, find its height.

Answer 1

Answer:

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Answer 2

Answer:

The height of the cylindrical can is 20 cm.

Step-by-step explanation:

Recall the formulas,

The volume of the cylinder = $\pi r^2h$

Area of circle = $\pi r^2$

Given: The volume of the cylindrical can = 1.54 liters

                                                                    = 1.54 × 1000 cm

                                                                    = 1540 cm

The area of the base of the cylinder = 77 cm

We know that the base of the cylinder is the circular shape.

So, the area of the base of the cylinder = $\pi r^2$

⇒ $77=\pi r^2$

Now, the volume of the cylindrical can = $\pi r^2h$

⇒ $1540=\pi r^2h$ . . . . (1)

Substitute the value 77 for $\pi r^2$ in the equation (1) as follows:

⇒ $1540=77h$

Solve for the value of $h$.

⇒ $h=\frac{1540}{77}$

⇒ $h=20$ cm

Therefore, the height of the cylindrical can is 20 cm.

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