what is the length of a vertical round cone 12cm in hight and 100 cubic cm in radius length?
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Answer:
The lateral area of a cone is: LA=π⋅r⋅s
Where r is the radius of the base and s is the slant height of a right cone (this formula only works on right cones). In this case it is not specified that it is a right cone, but I will make that assumption. The slant height, vertical height, and radius form a right triangle (in a right cone). Therefore the Pythagorean Theorem can be used to find a missing value. s=92+122−−−−−−−√=15
The lateral area of the big cone is:
LAB=π⋅9⋅15=135π cm2
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Let the radius of the right circular cone be r cm and its height is 12 cm. Hence , the radius of the cone =5cm.
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