Question

5. The curved surface area of a cylinder is 4400 cm2 and the circumference of its base is 110 cm find the height and the volume of the cylinder

Answer 1

Answer:

Height = 40 cm

Volume = 38,465 cm³

Step-by-step explanation:

Given,

CSA = 2πrh = 4400 cm²

C = 2πr = 110 cm

To find,

height and volume

Solution,

r = C/2π

r = 110/2π

r = 17.5

Height:

2πrh = 4400 (substitute 110 in 2πr)

h = 4400/110

  = 40 cm

Volume:

V = πr²h = 3.14 × 17.5 × 17.5 × 40

  = 38,465 cm³

Answer 2

Step-by-step explanation:

Given:

• Circumference of its base=110 cm
• Curved surface area (C.S.A.)=4400 cm2

$2 \times \pi \times r = 110 \\ 2 \times \frac{22}{7} \times r = 110 \\ \frac{44}{7} \times r = 110 \\ r = \frac{110 \times 7}{44} \\ r = 17.5 \: cm$

C.S.A.=4400 cm2

$2 \times \pi \times r \times h = 4400 \: cm {}^{2} \\ 2 \times \frac{22}{7} \times 17.5 \times h = 4400 \: cm {}^{2} \\ \frac{44}{7} \times 17.5 \times h = 4400 \: cm {}^{2} \\ \frac{770}{7} \times h = 4400 \: cm {}^{2} \\ 110 \times h = 4400 \: cm {}^{2} \\ h = \frac{4400}{110} \\ h = 40 \: cm$

Volume:

$\pi \times r {}^{2} \times h \\ = \frac{22}{7} \times 17.5 \times 17.5 \times 40 \\ \frac{269500}{7} \\ 38500 \: cm {}^{3}$

The height of cylinder =40 cm

The Radius of cylinder=17.5 cm

And the volume of cylinder=38500 cm3

I hope it will help you!!