lilybobin2006 lilybobin2006
  • 03-04-2020
  • Mathematics
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What is the surface area of the cone? Express your answer in terms of π.b

What is the surface area of the cone Express your answer in terms of πb class=

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shilpa85475 shilpa85475
  • 08-04-2020

Given:

Radius of the cone = 5 ft

Slant height of the cone = 21 ft

To find:

The surface area of the cone

Solution:

Surface area of cone formula:

[tex]SA=\pi r^{2}+\pi r l[/tex]

where r is the radius and l is the slant height.

[tex]SA=\pi \times 5^{2}+\pi \times 5 \times 21[/tex]

[tex]SA=\pi \times 25+\pi \times 105[/tex]

[tex]SA=25 \pi+ 105 \pi[/tex]

[tex]SA=130 \pi[/tex]

The surface area of the cone is 130π square feet.

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