Question

If the curved surface area of a cylinder is 3520 sq.cm and its base radius is
14 cm, then its height is
(a) 10 cm (b) 15 cm (c) 20 cm (d) 40 cm​

Answer 1

d) 40cm✔

______________________

Given:-

• CSA of a cylinder is 3520cm²

• radius of cylinder is 14cm

To Find:-

• height of cylinder

Solution :-

$\sf \longmapsto CSA \: of \: cylinder = 2\pi \: rh \\ \\ \sf \longmapsto \: 3520cm {}^{2} = 2 \times \dfrac{22}{7} \times 14 \times h \\ \\ \sf \longmapsto \: h = \dfrac{3520 \times 7}{2 \times 22 \times 14} cm \\ \\ \sf \longmapsto \: h = \dfrac{24640}{616} \\ \\ \sf \longmapsto \: \boxed{\boxed{ \bf{ \purple{h = 40cm}}}}$

Therefore, height of cylinder is 40cm.

More to know:-

• Volume of cylinder = πr²h

• TSA of cylinder = 2πrh + 2πr²

• Volume of cone = πr²h/3

• TSA of cone = πr[r+√(h²+r²)]

• CSA of cone = πr[√(h²+r²)]

• Volume of hemisphere = 2/3π³

• TSA of hemisphere = 2πr²

Answer 2

Question

If the curved surface area of a cylinder is 3520 sq.cm and its base radius is 14 cm, then its height is ?

Solution

Curved surface area of a cylinder = 3520cm²

Base radius = 14cm

Let, it's height be h

ATP

$2\pi rh = 3520 \\ = ) \: 2 \times \frac{22}{7} \times 14 \times h = 3520 \\ = ) \: 88h = 3520 \\ = ) \: h = \frac{3520}{88} = 40$

Ans:- The height is 40cm.

More Information

Surface area of cuboid = 2(lb+lh+bh)

Surface area of cube = 6 (length of an edge)²

Area of four walls = 2(l+b)h

Lateral surface area of cuboid = 2(l+b)h

Lateral surface area of cube = 4 (length of an edge)²