Question

the radius of the base of a cone is 12 cm and slant height is 13 cm. find the volume of the cone

Answer 1

Given: Height (h) = 12 cm,

length (l) = 13 cm

  To find: Radius of the base of the cone

(r) l2 = r2 + h2

  ∴ 132 = r2 + 122 

∴ 169 = r2 + 144 

∴169 – 144 = r2 

∴ r2 = 25 

∴ r = √25 … [Taking square root on both sides]  = 5 cm 

∴ The radius of base of the cone is 5 cm.

Answer 2

Answer:

r= 5cm

Step-by-step explanation:

h = 12 cm , 1= 13 cm

1 =√(h^2+r^2) [ Pythagorean Theron]

=>13=√(144+r^2)

squaring on both sides:

=>169=144+r^2

=>169-144=r^2=>25=r^2

=> r=√25=5cm

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