Questions: What is the approximate volume of the tank? a) 70 b) (1^1^30)

Transcript text: What is the approximate volume of the tark? a) 70 b) $1^{1^{30}}$

Solution

Solution Steps

Step 1: Calculate the volume of a sphere

The radius is half the diameter, which is 4 m / 2 = 2 m. Using the formula for the volume of a sphere (4/3)πr³, with r=2 and π≈3.14: Volume = (4/3) * 3.14 * 2³ = (4/3) * 3.14 * 8 ≈ 33.49 m³

Step 2: Calculate the volume of the cylinder

The cylinder's radius is the same as the sphere's, which is 2 m. Its length is 8 m. The formula for the volume of a cylinder is πr²h, where r is the radius and h is the height (length in this case): Volume = 3.14 * 2² * 8 = 3.14 * 4 * 8 ≈ 100.48 m³

Step 3: Calculate the total approximate volume

The tank is comprised of a cylinder and two half-spheres (which makes one whole sphere). Therefore, the total volume is the sum of the volumes of the cylinder and the sphere.

Total volume ≈ 33.49 m³ + 100.48 m³ ≈ 133.97 m³