Question

Find the surface area of the cone in terms of 1.
15 cm
3 cm

Answer 1

In terms of l?

TSA

• πr²+πrl
• πr(l+r)
• π(3)(3+l)
• 9.42(3+l) cm²

LSA

• πrl
• 9.42l cm²

Answer 2

`\sf SA=54\pi\:\:\:cm^2`

Explanation:

Surface Area of a Cone

`\sf SA=\pi r l+\pi r^2`

where:

• r is the radius
• l is the slant height

Given:

• r = 3 cm
• l = 15 cm

Substitute the given values into the formula and solve for SA:

`\implies \sf SA=\pi (3)(15)+\pi (3)^2`

`\implies \sf SA=45\pi+ 9 \pi`

`\implies \sf SA=54\pi\:\:cm^2`

Therefore, the surface area of the cone in terms of pi is:

`\sf SA=54 \pi\:\:\:cm^2`