the area of curved surfaces of a right circular cylinder is 6600cm^2 and the circumference of its base is 55cm find the height of the cylinder
Answers
Answer:
Given :
The curved surface area of a right circular cylinder = 6600 cm²Circumference of base = 55 cm.
To Find :
The volume of cylinder.
Solution :
________________________
Case : 1
Finding the radius of cylinder
Using Formula : Circumference of base = 2πr
\longrightarrow⟶ 55 = 2 × 3.14 × r
\longrightarrow⟶ (55 / (2 × 3.14) = r
\longrightarrow⟶ 8.75 = r
With this we get, r = 8.75 cm.________________________
Case : 2
Finding the height of cylinder
Using Formula : CSA of cylinder = 2πrh
\longrightarrow⟶ 6600 = 55 × h \big[\scriptsize{\sf{\red{Given : 2\pi r = 55}}}\big][Given:2πr=55]
\longrightarrow⟶ h = 6600/55
\longrightarrow⟶ h = 120
With this we get, h = 120 cm.________________________
Now We have,
r = 8.75 cmh = 120 cm
Using Formula : Volume of cylinder = πr²h
\longrightarrow⟶ 3.14 × (8.75)² × 120
\longrightarrow⟶ 3.14 × 67.56 × 120
\longrightarrow⟶ 25456.60
Hence, the volume of the cylinder is 25456.60 cm³.