EXERCISE 15B 1. The diameter of a cylinder is 28 cm and its height is 40 cm. Find the curved surface area, total surface area and the volume of the cylinder.
Answers
Step-by-step explanation:
Given,
Diameter of a cylinder = 28cm
Since, radius = diameter/2 = 28/2 = 14cm
Height of a cylinder = 40cm
Curved surface area = 2 πrh
Substituting the values,
Curved surface area = 2 × (22/7) × 14 × 40
Curved surface area = 3520 cm2.
therefore, Total surface area = 2 πrh + 2 πr2
Substituting the values
The total surface area = (2 × (22/7) × 14 × 40) + (2 × (22/7) × 142)
therefore ,Total surface area = 3520 + 1232 = 4752 cm2
Now,
Volume of cylinder = πr2h
Substituting the values
Volume of cylinder = (22/7) × 142 × 40
Therefore ,Volumes of cylinder = 24640cm3
Hence, the curved surface area, total surface area and the volume of cylinder are 3520 cm2, 4752 cm2 and 24640cm3.
Answer:
Right cylinder
Solve for surface area
A≈ 4750.09 cm²
d Diameter
h Height
SOLUTION IN STEPS
A=2π(d/2)h + 2π(d/2)²
=2·π·(28/2)·40+2·π·(28/2)2
≈4750.08809 cm²