Question

radius and LSA of a right cylindrical cone are 8 and 10. find slant height

Answer 1

Answer:

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Step-by-step explanation:

The slant height is 0.397 cm.

Step-by-step explanation:

Given : The radius and the lateral surface area of a right circular cone are 8 cm and 10 cm square respectively.

To find : Its slant height ?

Solution :

The lateral surface area of a right circular cone is LSA=\pi r lLSA=πrl

Where, r is the radius r=8 cm

l is the slant height

LSA is the lateral surface area LSA=10 cm²

Substitute the values in the formula,

10=\frac{22}{7}\times 8\times l10=

7

22

×8×l

l=\frac{10\times 7}{22\times 8}l=

22×8

10×7

l=0.397l=0.397

Therefore, the slant height is 0.397 cm.