Question

A cylindrical tank is half-full of oil.

The cylinder has a base radius of 100cm.
The height of the cylinder is 250cm.

1 litre = 1000cm³

How many litres of oil are in the tank?
Round your answer to the nearest litre.

(Please do help I've really been struggling with this) (100 points)

Answer 1

The 3925 litres of oil are in the tank.

Explanation:

According to the question, we have a tank is is half full of oil and we need to find the how many litres of are in tank.

Firstly, we need to find the volume of tank.

then simply divide volume by 2 and convert it in litre.

Solution: -

Given that: - The radius of cylinder is the 100cm and height of tank is 250m.

Formula for finding volume of tank is πr²h.

where, r denotes radius of tank and h denotes height of tank.

Now, put the given value of radius ( r) and height ( h) .

Volume of tank = π × ( 100cm ) ² × 250 cm

Expand exponent

Volume of tank = π × 10000 cm² × 250 cm

putting the value of π

Volume of cylinder = 3.14 × 10000 cm² × 250 cm

Now, multiply these and we get the value of tank.

is 7,850,000 cm³.

Now , divide it by 2 .

7,850,000 cm³ ÷ 2

We get 3925,000 cm³.

Now, Convert cm³ it in litre.

1000 cm³ = 1 litre

then 3925,000 cm³ = 3925 litre.

Hence, the litres of oil in tank is 3925 litre.