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2 years ago

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

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