29.2k views
17 votes
A cylindrical container contains some sand. If the diameter of the container is 10 inches and its height is 3 inches, about how much sand fits inside the container?

1 Answer

9 votes

Answer:

251.33in²

Explanation:

A cylindrical container contains some sand. If the diameter of the container is 10 inches and its height is 3 inches, about how much sand fits inside the container?

We solve the above question using the formula for Total surface area of a cylinder.

TSA = 2πr (h + r) Square units.

Where

h = Height of the cylinder

r = Radius of the cylinder

Diameter of the container is 10 inches

Hence, radius = Diameter/2 = 10/2 = 5 inches

Height is 3 inches.

Hence, Total surface area =

2 × π × 5 (5 + 3)

= 10π × (8)

= 251.32741229 in²

Approximately = 251.33 in²

Therefore, the amount of sand that can fit into the cylinder = 251.33 in²

User Riccardo La Marca
by
4.5k points