A right circular cone has an altitude of 40 cm and a diameter of 60 cm. The slant height of the cone is
The correct option is B: 50 cm
Diameter =60 cm
Radius, (r)=302=30 cm
Altitude = Height, (h)=40 cm
Let the slant height be L cm.
Slant height is given by the formula
L2=r2+h2
⇒L=√r2+h2
⇒L=√302+402
⇒L=√900+1600
⇒L=√2500
⇒L=√50×50
∴L=50 cm
Hence, the slant height of the cone is 50 cm