Question

What is the surface area of this cone?

Answer 1

113.10 square inches

Explanation:

Base shape = Circle

r = radius of Base shape

= 3 in

l = slanted height

= 9 in

Surface Area of cone =
`\pi r^(2) + \pi rl`

=
`[\pi (3)^(2) + \pi (3) (9)] in^(2)`

=
`[9\pi + 27\pi] in^(2)`

=
`36\pi` square inches

= 113.10 square inches (Rounded to the nearest hundredth place)

Answer 2

Given:-

• 
  `\sf \: Radius = \bold3in`

`\:`

• 
  `\sf \: Height = \bold 9in`

`\:`

• 
  `\sf \: pi ( π ) = \bold{ 3.14}`

`\:`

To find:-

• 
  `\textsf {\:Surface area of cone = ? \: }`

`\:`

By using formula:-

`{ \star{ \boxed{ \textsf{ \purple{Surface area of cone = πr² + πrs}}}}}`

`\:`

Solution:-

• 
  `\textsf{ \: SA = πr² + πrs \: }`

`\:`

• 
  `\textsf{ \: SA = 3.14 ( 3 )² + 3.14×3×9 \: }`

`\:`

• 
  `\textsf{ \: SA = 3.14 × 9 + 3.14 × 27 \: }`

`\:`

• 
  `\textsf{ \: SA = 28.26 + 84.78 \: }`

`\:`

• 
  `\underline{\boxed{ \textsf{ \red{SA =113.04}}}}`

`\:`

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hope it helps! :)