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Danaverma7ideolson
Danaverma7ideolson Danaverma7ideolson
  • 14-10-2016
  • Mathematics
Answered

The lateral area of a cone is 500 pi cm.^2. The radius is 50 cm. Find the slant height to the nearest tenth

A10 cm
B9.1 cm
C14.2 cm
D11.2 cm

Verified Answer :

JcAlmighty
JcAlmighty JcAlmighty
  • 23-10-2016

The answer is a. 10 cm

The lateral area (LA) of the cone can be expressed as:
LA = π r l
r - the radius of the cone
l - slant height of the cone 

It is given:
l = ?
r = 50 cm
LA = 500π cm²

Let's replace these in the equation for the lateral area of the cone:
500π = π 50 l
500π = 50π * l
⇒ l = 500π/50π
    l = 10 cm

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