Question

A piece of paper has a

Answer 1

Answer:

The volume of the resulting cylinder is 385 cm³

Step-by-step explanation:

The formula of the rule of a cylinder is V = π r² h, where

• r is the radius of its base

• h is the height of it

When a rectangular paper folded to form a cylinder, then one of its dimension will be the circumference of the base and the other dimension will be the height of the resulted cylinder

∵ ABCD is a rectangle

∵ It is folded where AB coincides with DC

∴ AB is the height of the resulted cylinder

∴ BC is the circumference of the base of the resulted cylinder

∵ AB = 10 cm

∴ h = 10 cm

∵ BC = 22 cm

∴ The circumfrence  of the base = 22 cm

∵ The circumference of a circle = 2 π r

→ Equate the rule by 22 to find r

∴ 2 π r = 22

∵ π = $\frac{22}{7}$

∴ 2 × $\frac{22}{7}$ × r = 22

∴ $\frac{44}{7}$ r = 22

→ Divide both sides by $\frac{44}{7}$

∴ r = 3.5 cm

→ Use the formula of the volume above to find the volume of the cylinder

∵ V = $\frac{22}{7}$ × (3.5)² × (10)

∴ V = 385 cm³

∴ The volume of the resulted cylinder is 385 cm³