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What is the slant length and perpendicular height of a cone whose radius is 5.25 cm with an entire surface area of 230.79 square cm showing work and taking pi as 3.14?
Wiki User
∙ 11y ago
First find the slant length using the following formula:-
Formula: (pi*radius2)+(pi*radius*slant length) = entiresurface area
So: (3.14*5.252)+(3.14*5.25*slant length) = 230.79
Dividing all terms by 3.14*5.25: 5.25+slant length = 14
Subtract 5.25 from both sides: slant length = 8.75
Use Pythagoras to find height: 8.752-5.252 = 49 and sq rt is 7
Therefore: slant length = 8.75 cm and perpendicular height = 7 cm
Wiki User
∙ 11y ago
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