The volume of a cone is 256.6cm and it's total surface area is 277.2cm.
What is surface area of a cone?
Surface area, also known as circular base area and lateral surface area, is the total area that is covered by its two surfaces. The overall area a cone occupies in a three-dimensional space is referred to as its total surface area. It is equivalent to the total of the cone's curved surface and base.
TSA of a cone = πr(l ₊ r)
Solution:
Given:
diameter of a cone= 14cm
radius of a cone = 14/2
= 7cm
height of a cone = 5cm
l = √(r² ₊ h²)
l = √74
l = 8.6cm
Now, volume of a cone = 1/3 πr²h
= 1/3 × 22/7 × 49 × 5
= 256.6cm
Total surface area of a cone = πr(l₊r)
= 22/7 × 7(8.6 ₊ 7)
=22/7 × 7(12.6)
= 277.2cm
Hence we get the volume of the cone as 256.6cm and total surface area as 277.2cm.
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