Question

If radius of the base of a cylinder is 7 cm and its height is 60 cm. Find:

a. Volume of the cylinder​

Answer 1

Given

• Radius (r) = 7 cm
• Height (h) = 60 cm

To find

• Volume (v) of cylinder

Solution

• V =  πr²h
• V =  22/7 × 7 × 7 × 60
• V = 9240

∴ Volume of cylinder = 9240 cm³

Learn more

• Total surface area (cylinder) = 2 πr(r+h)
• Curved surface area (cylinder) 2 πrh

Answer 2

Given :-

Radius of the base - 7cm

Height - 60cm

To find :-

• Volume of the cylinder
• Total surface area of the cylinder
• Curved surface area of the cylinder

Volume :-

Volume = πr²h

Where r is radius and h is height

By substituting the values,

$\dfrac{22}{7} \times 7 \times 7 \times 60$

$\dfrac{22}{ \not7} \times \not7 \times 7 \times 60$

$= 22 \times 7 \times 60$

$= 9240 {cm}^{3}$

Total surface area :-

Total surface area = 2πrh + 2πr²

= 2πr(h+r)

Where r is radius and h is height.

Substituting the values,

$2 \times \dfrac{22}{7} \times 7(60 + 7)$

$2 \times \dfrac{22}{ \not7} \times \not7 (67)$

$= 44 \times 67$

$= 2948 {cm}^{2}$

Curved surface area :-

Curved surface area = 2πrh

By substituting the values,

$2 \times \dfrac{22}{7} \times 7 \times 60$

$2 \times \dfrac{22}{ \not7} \times \not7 \times 60$

$= 44 \times 60$

$= 308 {cm}^{2}$

Some more formulas :-

Volume of cube = a³

Total surface area of a cube = 6a²

Curved surface area of a cube = 4a²

Volume of a cuboid = length × breadth × height

Total surface area of a cuboid = 2(lb + bh + hl)

Curved surface area of a cuboid = 2h(l+b) [or] Perimeter of base × height