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JulsSmile [24]
3 years ago
13

Given a right cone with radius r and slant height s what does the formula pi rs represent

Mathematics
1 answer:
Neporo4naja [7]3 years ago
6 0

Answer:

\pi rs represents the lateral surface area of the cone.

Step-by-step explanation:

Lateral surface area of cone(L) is given by:

L = \pi \cdot r \cdot l            .....[1]

where,

r is the radius of the cone

l is the slant height of the cone.

As per the statement:

A right cone with radius r and slant height s.

⇒l = s

Substitute in [1] we have;

L = \pi \cdot r \cdot s

Therefore, \pi rs represents the lateral surface area of the cone.

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