Question

If the lateral surface area of a cylinder is 94.2cm^2 and its height is 5m the find (1) radius of its base (2) its volume (use the value of pie =3.14

Answer 1

lsa=$2 \pi rh$
94.2=2*3.14*r*5
r=94.2/31.4cm
r=3cm


volume =$\pi r^{2} h$
=3.14*9*5
141.3 cm^3

Answer 2

Hi there !!
Here's your answer

Given,
Lateral surface area = 94.2cm²
Height (h) = 5cm
Let the radius of the base be ' r '

We know,
Lateral surface area = 2πrh
94.2 = 2 × 3.14 × r × 5
94.2/ 2×3.14×5 = r
r = 3
Thus,
The radius of base is 3cm

Also,
Volume of the cylinder = πr²h
= 3.14 × 3² × 5 cm
= 3.14 × 9 × 5cm
= 141.3cm³


Thus,
The radius of the base is 3cm and the volume is 141.3cm³

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Hope it helps :D