The total surface area of a solid cylinder is 462cm2. Its curved surface area is one third of total surface area. Find the volume of the cylinder.
229cm3
509cm3
439cm3
539cm3
A
229cm3
B
509cm3
C
439cm3
D
539cm3
Open in App
Solution
Verified by Toppr
Given:
TSA=462cm2=2πr(r+h)
CSA=2πrh=13(TSA)=13×462=154cm2
∴TSA−CSA=2πr2
⇒308=2πr2
⇒7×30822×2=r2
⇒r=7cm
CSA=154=2πrh
⇒154=2×227×7×h
∴3.5cm=h
∴ volume = πr2h=227×7×7×3.5cm3
=539cm3
Was this answer helpful?
5
Similar Questions
Q1
The total surface area of a solid cylinder is 462cm2. Its curved surface area is one third of total surface area. Find the volume of the cylinder.
View Solution
Q2
The total surface area of a cylinder is 462 cm2. Its curved surface area is one-third of its total surface area. Find the volume of the cylinder.
View Solution
Q3
A solid cylinder has total surface area of 462cm2. Its curved surface area is one-third of its total surface are. Find the volume of the cylinder (Take π=227)
View Solution
Q4
A solid cylinder has total surface area of 462 cm2. Its curved surface area is one-third of its total surface area. Find the radius and height of the cylinder.
View Solution
Q5
The total surface area of a solid cylinder is 462 CM square. if its curved surface area is one by third of the total surface area. find the volume of the cylinder