Question

The height of a cone is 16 cm and the diameter of its base is 24 cm. Find its curved surface area and
total surface area.

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Answer 1

Answer:

C.S.A of cone=πrl

=22/7×12×36

=22/7×432

=9504/7

=1357.71cm3

Step-by-step explanation:

Answer 2

$\mathbf \red{given}$

• Height =16cm
• Diameter =24 cm
• radius =d/2=>24/2=>12cm

we know that

• Curved surface area of the cone = pie ×r×l
• Total surface area of the cone =pie r(l+r)

$\mathbf \red{solution}$

Now,

By pythagoras therome

$l {}^{} = \sqrt{r {}^{2} + h {}^{2} }$

$l = \sqrt{(12) {}^{2} + (16) {}^{2} }$

$l = \sqrt{144 + 256}$

$l = \sqrt{400}$

$l = 20$

• Curved surface area =pie×r×l

putting the value

=22/7×12×20

=5280/7

• total surface area =pie×r(l+r)

=22/7×12(20+12)

=22/7×12×32

=3445/7