The radius and the height of a right circular cone are in the ratio 5:12 and its volume is 2512 cubic cm. Find the radius and slant height of the cone. (Takeπ=3.14) ?
Let radius=5x and height=12x
Volume of cone=13πr2h
2512=13∗3.14∗5x∗5x∗12x
2512∗33.14=300x3
300x3=2400
x3=2400300=8
x=2
Radius=5∗2=10cm
Height=12∗2=24cm
l=√r2+h2
=√102+242
=√100+576
=√676
=26 cm