Find the slant height $l$ of a cone if base area $A B = 25 cm$ and Curved Surface Area $CS A = 60 cm$ .

Answer

$6.7703 cm$

Explanation

STEP 1: find radius $r$

To find radius $r$ use formula:

After substituting $A B = 25 cm$ we have:

A B = r^{2} \cdot π

r^{2} \cdot π = 25 cm

r = \frac{25 cm}{π}

r \approx 2.8209

STEP 2: find slant height $l$

To find slant height $l$ use formula:

CS A = l \cdot r \cdot π

After substituting $CS A = 60 cm$ and $r = 2.8209 cm^{0}$ we have:

60 cm = 2.8209 \cdot l \cdot π

l = \frac{60 cm}{2.8209 π}

l \approx 6.7703 cm

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Find the slant height l of a cone if base area AB=25cm and Curved Surface Area CSA=60cm.

6.7703cm

Find the slant height $l$ of a cone if base area $A B = 25 cm$ and Curved Surface Area $CS A = 60 cm$ .

$6.7703 cm$