Question

The circumference of the base of 16m high solid cone is 33m find the total surface area of the cone (take, pie =22/7

Answer 1

• Given circumference of the base of solid cone is 33m

We know that the circumference of a circle is given by 2πr

So,

$= > \red{2\pi \: r = 33m} \\ \\ = > \red{2 \times \frac{22}{7} \times r = 33 } \\ \\ = > \red{r = \frac{33 \times 7}{44} } \\ \\ = > \red{ r = \frac{231}{44} }\\ \\ = > \red{r = 5.2}$

Radius = 5.2 m

Now we need to calculate out the slant height (l). if the cone

We have ,height = 16m

radius = 5.2

l= ?

$\bold{by \: applying \: Pythagoras \: theorem \: we \: can \: find \: slant \: height \:}$

$= > l ^{2} = b ^{2} + h ^{2} \\ \\ = > l = \sqrt{5.2 ^{2} + 16 ^{2} } \\ \\ = > l = \sqrt{27.04 + 256} \\ \\ = > l = 15.8 \: m$

We have calculated the slant height and radius of the cone now the we are in the position to find out the TSA which is as follows

$= > TSA \: = \pi \: r(r + l) \\ \\ = >TSA \: = \frac{22}{7} \times 5.2(5.2 + 15.8)$

$= > TSA \: = 3.14 \times 5.2 \times 21 \\ \\ = > \huge{\boxed{\boxed{ \red{TSA \: = 342.8m ^{2} }}}}$

From this above calculation we find the Total surface Area if the circular come is 342.8 m²

Answer 2

hey here is your answer

hope it helps you☺️