Question

What is the volume of air inside the cylindrical building housing the Southern African Large Telescope (SALT)? The building has a wall height of 20 meters and a diameter of 12 meters. Please express your answer in terms of π (pi).

Answer 1

The volume of air inside the cylindrical building housing the Southern African Large Telescope (SALT) is approximately 2260.8 cubic meters.

Step-by-step explanation:

The volume of air inside the cylindrical building housing the Southern African Large Telescope (SALT) can be calculated using the formula for the volume of a cylinder, which is V = πr²h, where r is the radius and h is the height of the cylinder. In this case, the diameter of the building is 12 meters, so the radius is half of that, which is 6 meters. The height of the building is 20 meters. Plugging in these values into the formula, we get:

V = 3.14 x 6² x 20 = 2260.8 cubic meters

Therefore, the volume of air inside the cylindrical building housing SALT is approximately 2260.8 cubic meters.

Answer 2

The volume of air inside the cylindrical building of the Southern African Large Telescope (SALT), with a wall height of 20 meters and a diameter of 12 meters, is π(720 m³), expressed in terms of π.

Step-by-step explanation:

To calculate the volume of air inside the cylindrical building housing the Southern African Large Telescope (SALT), we use the formula for the volume of a cylinder, which is V = πr²h, where V is the volume, r is the radius, and h is the height.

Given the building has a diameter of 12 meters, the radius (r) would be half of that, which is 6 meters. The height (h) of the building is given as 20 meters.

Therefore, the volume (V) can be calculated as follows:

V = π(6 m)²(20 m)

V = π(36 m²)(20 m)

V = π(720 m³)

Hence, the volume of air inside the cylindrical building is π(720 m³), expressed in terms of π.