Find the radius $r$ of a cone if area $A = 1507.9645 cm$ and Curved Surface Area $CS A = 706.8583 cm$ .

Answer

$15.9687$

Explanation

STEP 1: find base area $A B$

To find base area $A B$ use formula:

A = A B + CS A

After substituting $A = 1507.9645 cm$ and $CS A = 706.8583 cm$ we have:

1507.9645 cm = A B + 706.8583 cm

1507.9645 cm = A B + 706.8583 cm

1 A B = 1507.9645 cm - 706.8583 cm

1 A B = 801.1061 cm

A B = 801.1061 cm

STEP 2: find radius $r$

To find radius $r$ use formula:

After substituting $A B = 801.1061 cm$ we have:

A B = r^{2} \cdot π

r^{2} \cdot π = 801.1061 cm

r = \frac{801.1061 cm}{π}

r \approx 15.9687

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Find the radius r of a cone if area A=1507.9645cm and Curved Surface Area CSA=706.8583cm.

15.9687

Find the radius $r$ of a cone if area $A = 1507.9645 cm$ and Curved Surface Area $CS A = 706.8583 cm$ .

$15.9687$