Question

Lsa of a cylinder whose circumference is 44cm and height 10 cm the volume v(in cm cube) of cylinder is

Answer 1

Answer:

The volume is 1540 cm³.

The lateral surface area is 440 cm².

Step-by-step explanation:

Given:-

Circumference if the base = 44 cm

Height of the cylinder = 10cm

Circumference of the base that is circular is 2πr

$= > 2\pi \: r = 44 \\ = > 2 \times \frac{22}{7} \times r = 44 \\ = > \cancel44r = \cancel44 \times 7 \\ = > \boxed{r = 7cm}$

Now:-

The volume of cylinder = πr²h

$= > \frac{22}{7} \times {(7)}^{2} \times 10 \\ = > \frac{22}{ \cancel7} \times \cancel7 \times 7 \times 10 \\ = > 22 \times 7 \times 10 \\ = > 1540 {cm}^{3}$

And:-

Lateral surface area of cylinder = 2πrh

$= > 2 \times \frac{22}{7} \times 7 \times 10 \\ = > 2 \times \frac{22}{ \cancel7} \times \cancel7 \times 10 \\ = > 2 \times 22 \times 10 \\ = > 440 {cm}^{2}$

Answer 2

Answer:

1)1540 cm³ = volume.

2) 440 cm² = lateral surface area of cylinder.

Step-by-step explanation:

1. 44 cm is the circumference.
2. 10 cm is height of cylinder.
3. 2πr is circumference base of circular.

= 2πr = 44

= 2 × 22 / 7 × r = 44

= 44r = 44 × 7

= R = 7 cm

πr²h = volume of cylinder

= 22 / 7 × ( 7 )² × 10

= 22 / 7 × 7 × 7 × 10

= 22 × 7 × 10

= 1540 cm³

2πrh = lateral surface area

= 22 × 22 / 7 × 7 × 10

= 2 × 22 / 7 × 10

= 2 × 22 × 10

= 440 cm²

Therefore,

1)1540 cm³ = volume.

2) 440 cm² = lateral surface area of cylinder.