Question

curved surface area of cone with base radius 40cm is 1640π sq cm. find the slant height of cone

Answer 1

Hey mate!

Here's the answer you are looking for


Curved surface area of a cone is = πrl

where r = radius = 40cm

and l = slant height

Substituting the values,

1640 = π (40) (l)

$l = \frac{1640}{ \frac{22}{7} \times 40 } = \frac{1640 \times 7}{22 \times 40}$

l = 13cm (approx)




★★ HOPE THAT HELPS ☺️ ★★

Answer 2

✬ Slant Height = 41 cm ✬

Step-by-step explanation:

Given:

• Measure of base radius of cone is 40 cm.
• Curved Surface are of cone is 1640π cm².

To Find:

• What is the slant height of cone i.e L ?

Solution: As we know that the formula for CSA of cone is πrl.

A/q

• CSA = 1640π cm²
• Taking π = 22/7

$\implies{\rm }$ πrl = 1640π

$\implies{\rm }$ π $\times$ 40 $\times$ l = 1640π

$\implies{\rm }$ 40π $\times$ l = 1640π

$\implies{\rm }$ l = 1640π/40π

$\implies{\rm }$ l = 1640/40

$\implies{\rm }$ l = 41 cm

Hence, the slant height cone is 41 cm.

_____________________

★ Verification ★

=> π(40)(41) = 1640π

=> π1640 = 1640π

=> 1640π = 1640π

$\large\boxed{\texttt{Verified}}$