A cylinder cup has a circujar base of radius 7cm and height of 10cm.taking the value of 22/7 calculate (a)its curved surface area
if you unwrap the cup, the curved surface is just a rectangle whose
length is the circumference of the cup
height is the height of the cup
so, the area is 2πrh
now just plug in your numbers.
To calculate the curved surface area of the cylinder, we need to find the circumference of the circular base and multiply it by the height of the cylinder.
Step 1: Find the circumference of the circular base
The formula for the circumference of a circle is C = 2πr, where C represents the circumference and r represents the radius.
Given that the radius of the circular base is 7cm, we can substitute this value into the formula:
C = 2 * (22/7) * 7
C ≈ 2 * 3.14 * 7
C ≈ 44 cm
Step 2: Calculate the curved surface area
The formula for the curved surface area of a cylinder is A = 2πrh, where A represents the curved surface area, π is approximately 3.14, r is the radius of the circular base, and h is the height of the cylinder.
Given that the height of the cylinder is 10cm, we can substitute the values into the formula:
A = 2 * (22/7) * 7 * 10
A ≈ 2 * 3.14 * 7 * 10
A ≈ 439.43 cm²
Therefore, the curved surface area of the cylinder cup is approximately 439.43 square centimeters.