Question

In a community the water distrubuted tank is made of hemisphere and cylindrical part inner radius is 7 m and total height is 13 m . How much water can be kept in the tank math question​

Answer 1

To calculate the amount of water that can be kept in the tank, we need to find the total volume of the hemisphere and the cylindrical part and then add them together.

1. Volume of the hemisphere:

- The formula for the volume of a hemisphere is (2/3)πr^3, where r is the radius.

- In this case, the radius of the hemisphere is 7 m.

- Plugging in the values:

Volume of the hemisphere = (2/3) * π * (7^3)

Volume of the hemisphere ≈ 718.81 m³ (rounded to two decimal places)

2. Volume of the cylindrical part:

- The formula for the volume of a cylinder is πr^2h, where r is the radius and h is the height.

- In this case, the radius of the cylindrical part is also 7 m and the height is 13 m.

- Plugging in the values:

Volume of the cylindrical part = π * (7^2) * 13

Volume of the cylindrical part ≈ 2002.15 m³ (rounded to two decimal places)

3. Total volume of the tank:

- To find the total volume of the tank, we add the volume of the hemisphere and the volume of the cylindrical part.

Total volume of the tank ≈ Volume of the hemisphere + Volume of the cylindrical part

Total volume of the tank ≈ 718.81 m³ + 2002.15 m³

Total volume of the tank ≈ 2720.96 m³ (rounded to two decimal places)

Therefore, the tank can hold approximately 2720.96 cubic meters of water.

alli <3

Answer 2

the amount of water that can be kept in the tank is 1323π cubic meters.

Explanation:

To find the amount of water that can be kept in the tank, we need to calculate the total volume of the tank.

The tank consists of a hemisphere and a cylindrical part. We can find the volumes of each part separately and then add them together.

1. Volume of the hemisphere:

The volume of a hemisphere is given by the formula V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the inner radius of the hemisphere is 7 m.

So, the volume of the hemisphere is V₁ = (2/3)π(7³) = (2/3)π(343) = 686π m³.

2. Volume of the cylindrical part:

The volume of a cylinder is given by the formula V = πr²h, where r is the radius of the base and h is the height.

In this case, the radius of the cylindrical part is also 7 m and the total height is 13 m.

So, the volume of the cylindrical part is V₂ = π(7²)(13) = 637π m³.

3. Total volume of the tank:

To find the total volume of the tank, we add the volumes of the hemisphere and the cylindrical part:

V = V₁ + V₂ = 686π + 637π = 1323π m³.