Question

Calculate the total surface area of this cone.

Give your answer to 1 decimal place.
Height being 17 cm
And radius being 8cm

Answer 1

673.3 cm² (1 d.p.)

Explanation:

Surface Area of a Cone

`\sf SA=\pi r \left(r+√(h^2+r^2)\right)`

where:

• r is the radius
• h is the height perpendicular to the base

Given:

• r = 8 cm
• h = 17 cm

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

`\implies \sf SA=\pi (8) \left(8+√(17^2+8^2)\right)`

`\implies \sf SA=\pi (8) \left(8+√(353)\right)`

`\implies \sf SA=\left(64+8√(353)\right)\pi`

`\implies \sf SA=673.2632668...`

`\implies \sf SA=673.3\:\:cm^2\:(1\:d.p.)`