The area of curved surface of a right circular cylinder is 6600 cm^2and the
circumference of its base is 55 cm. Find the height of the cylinder.
The volume of a right circular cylinder is 1100 cmand radius of its base
Answers
Step-by-step explanation:
Given,
area of curved surface of a right circular cylinder is =6600 cm^2...(1)
circumference of its base is =55 cm...(2)
volume of a right circular cylinder is= 1100.......(3)
curved surface of a right circular cylinder is=2πrh. ... from (1)
=6600 cm^2...(4)
where, r=radius of the base of the cylinder,
h=height of the cylinder
circumference of the base of the cylinder=2πr=55 cm..... from (2)....(5)
where, r=radius of the base of the cylinder
2π×r=2×3.14159265×r
=6.2831853×r=55
r=55÷6.28=8.75 cm {it's no need to find radius of the base of the cylinder for finding out height of the cylinder} ...(6)
from (4),
2πrh=6600
55×h=6600... from (5)
.•. h=6600÷55=125 cm
Therefore the height of the cylinder is=125 cm