Question

Find the lateral surface area, total surface area and the volume of the following cylinders: Radius = 4.2cm, Height = 12cm

Answer 1

Given that:
Radius (r) = 4.2cm
Height (h) = 12cm
We know that:
Lateral surface Area (L.S.A) of cylinder = 2 x π x r x h
Total surface Area (T.S.A) of cylinder = (2 x π x r x h) + (2 x π x r²)
Volume of cylinder = π x r² x h
L.S.A of cylinder
= 2 x π x r x h

 = `2 xx (22)/(7) xx 4.2 xx 12`
= 316.8cm²
T.S.A of cylinder
= (2 x π x t x h) + (2 x π x r²)

= `(2 xx (22)/(7) xx 4.2 xx 12) + (2 xx (22)/(7) xx 4.2^2)`
= 316.8 + 110.88
= 427.68cm²
Volume of cylinder
= π x r² x h

= `(22)/(7) xx 4.2^2 xx 12`
= 665.28cm³.