Question

The curved surface area of a cone is 2035 cm^2 and it's diameter is 35cm.Find it's slant height
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Answer 1

Step-by-step explanation:

Given:

• CSA of cone = 2035 cm^2
• Diameter of cone = 35 cm

To find:

• Slant height (l) = ?

Solution:

We know the diameter of cone = 35 cm

So, it's radius = 35/2 cm

$curved \: surface \: area \: of \: cone \: = \: \pi rl$

So, just put the given values to calculate the slant height.

$= = > \: 2035 \: = \: \frac{22}{7} \times \: \frac{35}{2} \times \: l$

$= = > \: 2035 \: = \:11 \: \times 5 \: \times l$

$= = > \: \frac{2035}{11 \times 5 \: } = \: l$

==> 37 cm = l

Hence, the slant height of cone = 37 cm.

_____________________________

Not sure? Let's verify it !

==> 2035 = 22/7 × 35/2 × 37

==> 2035 = 11 × 5 × 37

==> 2035 = 55 × 37

==> 2035 = 2035

LHS is satisfying RHS. Hence, verified ✔

Hope it helped you dear...