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Mathematics

Grade9

Easy

Question

Find the surface area of the figure. Round your answer to the nearest hundredth.

$289.66 {mm}^{2}$
$833.67 {mm}^{2}$
$176.7 {mm}^{2}$
$566.76 {mm}^{2}$

hint Hint:

The Formula lateral surface area of the cone is where l is the slant height and r is the radius of the circular base of the cone.

The correct answer is: $289.66 space mm squared$

Given the diameter of base of cone = 9 mm then the radius of base of cone = 4.5 mm
The height of cone h = 20 mm find the slant height by Pythagoras theorem,
$text Slant height end text equals square root of r squared space plus space h squared end root space equals square root of 20 squared plus 4.5 squared end root equals square root of 420.25 end root equals 20.5 U s e space t h e space l a t e r a l space a r e a space f o r m u l a comma space L a t e r a l space a r e a space equals space pi r l equals space 3.14 space x space 4.5 space x space 20.5 space equals 289.66 space mm squared$
Therefore, lateral surface area of the cone is $289.66 space mm squared$ .

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