The lateral surface area of a hollow cylinder is 1188 square cm.It is cut along its height to obtain a rectangle.Find the perimeter of rectangle if the height of the cylinder is 44cm.
Answers
Answer:
hope this may help you
Step-by-step explanation:
Given:
Lateral surface area of hollow cylinder= 4224 cm²
Height of a hollow cylinder (h)= 33 cm
Lateral surface area or curved surface area of hollow cylinder= 2πrh
4224 = 2×(22/7) × r × 33
r=(4224×7) / 2×22×33
r= (64 × 7)/22
Length of rectangular sheet= 2πr
= 2×(22/7)× (64 × 7)/22
=64 × 2
= 128 cm
Perimeter of rectangular sheet = 2(l+b)
= 2(128+33)
= 2 × 161
= 322 cm
Hence, perimeter of rectangular sheet is 322 c
Answer:
I hope it will help you all
Step-by-step explanation:
Given,
Lateral Surface Area of hollow cylinder= 4224cm²
Height of a hollow cylinder (h) = 33 cm
Lateral surface area or curved surface area of hollow cylinder= 2πrh
4224=2*22/7*r*33
r=(4224*7)/2*22*33
r=(64*7)/22
Length of rectangular sheet =2πr
(2*22/7)*64*7/22
64*2=128cm
Perimeter of rectangular sheet= 2(l+b)
2(128+33)
2*161=322 cm
hence, perimeter of rectangular sheet is 322.