Question

A cone has a radius of 15 cm and a slant height of 50 cm. Find the total surface area and volume of the figure.

Answer 1

Answer:

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Answer 2

Answer:

$T.S.A=3061.5cm^{2}$ and $v=11233.3$cm^{3}

Step-by-step explanation:

As we have given in the question it is a cone of radius(r)=15 cm slant height(l)=50 cm

Now we need to find its volume and total surface area(T.S.A)

First we are solving for volume i.e.

$\dfrac{1}{3}\times3.14\times r\times r\times h$

For h, We have $h=\sqrt{l^{2}-r^{2}  }$

h=$\sqrt{50^{2}-15^{2} }$$=47.7$

So now we have h=47.7 cm

Now volume would be

$v=\dfrac{1}{3}\times3.14\times 15\times15\times47.4$

$v=11233.3$cm^{3}

Now we are going to solve T.S.A i.e.$=3.14\times r(l+r)$

T.S.A=$3.14\times15(15+50)$

$T.S.A=3061.5cm^{2}$