Question

Find the lateral surface area, total surface area and the volume of the following cylinders: Diameter = 10m, High = 7m

Answer 1

Given that:
Diameter = 10m
Radius (r) = 5m
Height (h) = 7m
Now,
L.S.A of cylinder
= 2 x π x r x h

= `2 xx (22)/(7) xx 5 xx 7`
= 220m²
T.S.A of cylinder
= (2 x π x r x h) + (2 x π x r²)

= `(2 xx (22)/(7) xx 5 xx 7) + (2 xx (22)/(7) xx 5^2)`
= 220 + 157.14
= 377.14m²
Volume of cylinder
= π x r² x h

= `(22)/(7) xx 5^2 xx 7`
= 550m³.