Question

L.S.A. and diameter of a cone are 4070cm^2 and 70cm respectively, then find its

slant height​

Answer 1

Answer:

The curve surface area of cone is 4070 square cm and its diameter is 70 cm what is a slant height Get the answers you need, ... Radius of cone = d/2=70/2=35cm.

Answer 2

The slant height of the cone is 37 cm.

Step-by-step explanation:

The Lateral Surface Area of a cone = 4070 cm²

The diameter of the cone, d = 70 cm

So, the radius, r = d/2 = 70/2 = 35 cm

Let the slant height of the cone be denoted as "l".

The formula of the Lateral Surface Area of a cone is given by

L.S.A. = πrl

Therefore, substituting the given values in the formula, we have,

4070 = πrl

⇒ 4070 = $\frac{22}{7}$ × 35 × l

⇒ 4070 = 22 × 5 × l

⇒ l = $\frac{4070}{110}$

⇒ l = 37 cm ← slant height of the cone

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