Question

the volume of a cylinder is 2512 Cubic cm and its height is 12.5 cm find the radius of its base and curved surface area pie 3.14 ​

Answer 1

Answer:

r=8cm,c.s.a.=628cm²

Step-by-step explanation:

• volume of cylinder = 2512³ cm
• height = 12.5cm
• radius = ?
• volume of cylinder = πr²h
• 2512 = 3.14×r²×12.5
• 2512÷12.5 = 3.14×r²
• 200.96 = 3.14×r²
• 200.96÷3.14 = r²
• 64 = r²
• r² = 64
• r = √64
• r = 8cm

lateral surface area=2πrh

• lateral surface area=2×3.14×8×12.5
• lateral surface area=628cm²

Answer 2

Let radius=5x and height=12x

Volume of cone=

3

1

πr

2

h

2512=

3

1

∗3.14∗5x∗5x∗12x

3.14

2512∗3

=300x

3

300x

3

=2400

x

3

=

300

2400

=8

x=2

Radius=5∗2=10cm

Height=12∗2=24cm

l=

r

2

+h

2

=

10

2

+24

2

=

100+576

=

676

=26 cm