10 grade maths

A milk tank is in the form of a cylinder whose radius is 1.5 m and length is 7 m. Find the quantity of milk in liters that can be stored in the tank?

Aniket Singh

9 Months agoGrade

1 Answer

Askiitians Tutor Team

Approved Tutor Answer9 Months ago

To find the quantity of milk that can be stored in a cylindrical tank, we first need to calculate the volume of the cylinder. The formula for the volume \( V \) of a cylinder is:

Volume Calculation

The formula is given by:

V = πr²h

r = radius of the cylinder = 1.5 m
h = height (or length) of the cylinder = 7 m
π (Pi) ≈ 3.14

Substituting the Values

Now, plug in the values into the formula:

V = π × (1.5)² × 7

Calculating step-by-step:

(1.5)² = 2.25
V = 3.14 × 2.25 × 7
V ≈ 3.14 × 15.75
V ≈ 49.5 m³

Converting to Liters

Since 1 cubic meter is equal to 1,000 liters, we convert the volume:

Quantity of milk in liters = 49.5 m³ × 1,000 = 49,500 liters

Final Result

The milk tank can store approximately 49,500 liters of milk.

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View all Questions

A milk tank is in the form of a cylinder whose radius is 1.5 m and length is 7 m. Find the quantity of milk in liters that can be stored in the tank?

Aniket Singh

1 Answer

Askiitians Tutor Team

Volume Calculation

Substituting the Values

Converting to Liters

Final Result

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