Question

Find the height of the cone, if its slant height is 34 cm and base diameter is 32cm

Answer 1

Answer:

Diameter (d) = 32cm

Radius (r) = 16cm

Slant Height (l) = 34cm

Now,

Height (h) = ?

${l}^{2} = {r}^{2} + {h}^{2} \\ {34}^{2} = {16}^{2} + {h}^{2} \\ 1156 = 256 + {h}^{2} \\ {h}^{2} = 1156 - 256 = 900 \\ h = \sqrt{900} = 30$

So,

Height of the cone is 30cm

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Answer 2

Answer:

slant height (l) = 34cm

diameter =32 cm

radius =32/2=16cm

h²=l²- r²

${h}^{2} = {34}^{2} - {16}^{2}$

${h}^{2} = 1156 - 256$

${h}^{2} = 900$

$h = \sqrt{900}$

$h = 30cm$

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