Question

Surface area and volume of cone

Answer 1

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.

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

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