Question

The height of a cone is 15 cm. If its volume is 1570 cm^3, find
the radius of the base.
(Use x=3.14)
pls give step by step explanation ​

Answer 1

Answer:

10cm

Step-by-step explanation:

volume of cone=1/3πr^2h

1570=1/3*3.14*15*r^2

1570=15.7*r^2

r^2=1570/15.7

r^2=100

r=√100

r=10cm

Answer 2

To find :

• we need to find the radius of base of cone.

Given :

• Height of cone = 15cm
• Volume of cone = 1570cm³

we know that,

• 《 Volume of cone = ⅓ πr²h》

So,

⟹ ⅓ πr²h = 1570

⟹ πr²h = 1570 × 3

⟹ πr² × 15 = 4710

⟹ πr² = 4710/15

⟹ πr² = 314

⟹ r² = 314/3.14

⟹ r² = 31400/314

⟹ r = √100

⟹ r = 10cm

Hence,

• Radius of base of cone is 10cm

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⠀⠀⠀⠀⠀⠀《Some Formulas》

◼ Volume of cone = ⅓πr²h

◼ Lateral surface area of cone = πr√r² + h²

◼ TSA of cone = πrl + πr²

Where,

• π = 22/7 or 3.14
• h = height of cone
• r = radius
• l = slant height

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