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ivann1987 [24]
2 years ago
12

Surface area and volume of cone

Mathematics
1 answer:
faust18 [17]2 years ago
8 0

The surface area and the volume of the cone is 816.4 km² and 7536 km³ respectively.

<h3>What is volume?</h3>

Volume is the capacity of an object.

To calculate the surface area and volume of the cone shown above, we use equation 1 and equation 2 respectively.

Formula:

  • S = πr√(r²+h²)............. Equation 1
  • V = πr²h.................. Equation 2

Where:

  • S = Surface area of the cone
  • V = Volume of the cone
  • r = Radius of the base of thye cone
  • h = Vertical height of the cone.

From the diagram,

Given:

  • r = 10 km
  • h = 24 km
  • π = 3.14

Substitute these values into equation 1 and equation 2 respectively.

  • S = 3.14×10[√(24²+10²)
  • S = 31.4(√676)
  • S = 31.4×26
  • S = 816.4 km²

Also for the volume of tyhe cone

  • V = 3.14×10²×24
  • V = 7536 km³

Hence, The surface area and the volume of the cone is 816.4 km² and 7536 km³ respectively.

Learn more about volume here: brainly.com/question/1972490

#SPJ1

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