Question

Curved surface area of a cone =

slant
surface area of a sphere
Trl, where r is the radius and 1 is the
height.
472, where r is the radius.
A sphere and a cone are shown below.
The surface area of the sphere is the same as the curved surface area of
the cone.
Work out the slant height of the cone.
If your answer is a decimal, give it to 1 d.p.
16 m
10 m

Answer 1

735.1 square meters

Explanation:

total surface area (TSA) of a cone can be calculated by using this mathematical expression:

Total surface area (TSA) of a cone = πr(l + r)

Total surface area (TSA) of a cone = πr(l + r)

Total surface area (TSA) of a cone = 3.142 × 6 × (33 + 6)

Total surface area (TSA) of a cone = 3.142 × 6 × (39)

Total surface area (TSA) of a cone = 735.1 square meters.