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