The sum of the radius and the height of a solid cylinder is 37 cm If the total surface area of the solid is 1628 cm2 find the circumference of the base and the volume of the solid
44 cm, 4620 cm3
44 cm, 4610 cm3
33 cm, 4620 cm3
44 cm, 4600 cm3
A
33 cm, 4620 cm3
B
44 cm, 4620 cm3
C
44 cm, 4610 cm3
D
44 cm, 4600 cm3
Open in App
Solution
Verified by Toppr
The correct option is A 44 cm, 4620 cm3 Given r+h=37 cm Total surface area of the solid cylinder = 2πr(r+h)=1628cm2 ∴r=1628×72×22×37=7cm ∴ Height = (37-7) cn = 30 cm and Circumference = 2πr=227×7=44cm Volume of the cylinder = πr2h=227×7×7×30=4620cm3
Was this answer helpful?
297
Similar Questions
Q1
The sum of the radius and the height of a solid cylinder is 37 cm If the total surface area of the solid is 1628 cm2 find the circumference of the base and the volume of the solid
View Solution
Q2
The sum of the radius of base and height of a solid right circular cylinder is 37 cm. If the total surface area of the solid cylinder is 1628 cm2, find the volume of cylinder.
View Solution
Q3
The sum of the radius of the base and height of a solid cylinder is 37cm. If the total surface area is 1628cm2, find the volume of the cylinder.
View Solution
Q4
The sum of height and radius of the base of a solid cylinder is 37cm. Total surface area f the cylinder is 1628cm2, Find its volume of the cylinder.
View Solution
Q5
Find the volume of the cylinder whose total surface area is 1628 cm2 and the circumference of its cross-section is 44 cm.