Question

Volume of a cone is 4620 cm3 if the
height = 40cm find its diameter​

Answer 1

Step-by-step explanation:

Volume of Cone = 4620 cm³

1/3 πr²h = 22×21×10

22/21 × r²×40 = 22 × 21 × 10

r²/21 × 40 = 21 × 10

r² = 21*21/4

r = 21/2 cm

Diameter = 2 × r = 2 × 21/2 = 21 cm

Answer 2

Given

• Volume of cone = 4620cm³
• Height of cone = 40cm
• Diameter = ????

Solution

According to the given condition

Volume of cone = 1/3πr²h

=> 4620 = 1/3 × 22/7 × r² × 40

=> 4620 = 22 × 40 × r²/21

=> r² = 4620 × 21/22 × 40

=> r² = 176400

=> r = √176400 = 420cm

★ 1 m = 100 cm

Radius of cone = 420/100 = 4.2m

Diameter of cone = 2 × 4.2 = 8.2m

Note

• volume of cone = 1/3πr²h
• volume of cube = a³
• volume of cuboid = l×b×h
• volume of cylinder = πr²h
• 1km = 1000m
• 1mm = 1000m
• 1m = 100cm