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Find the volume and total surface area of a right circular cone whose base radius is 10cm and whose altitude is 15cm

Sagot :

Formulas for a right circular cone:
[tex]SA= \pi r(r+ \sqrt{h^2+r^2} \\ Volume= \pi r^2 \frac{h}{3} [/tex]
SA means Surface Area

The surface area of the cone is:
[tex]SA= 10 \pi (10+ \sqrt{15^2+10^2} \\= 10 \pi (10+ \sqrt{325)} \\ =10 \pi (10+5 \sqrt{13} )\\= 100 \pi +50 \sqrt{13} cm^2[/tex]

Volume:
[tex]V= \pi 10^2* \frac{15}{3} =100 \pi *5=500 \pi cm^3[/tex]