Question

Find the volume of a cone with radius 10 feet and height of 4 feet.

Answer 1

Given :

Find the volume of a cone with radius 10 feet and height of 4 feet.

Solution :

Given Data :

Radius = 10 feet

Height = 4 feet

Formulae :

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \star \: \blue{ \underline{ \overline{ \green{ \boxed{ \frak{{ \sf V}olume_{(Cone)} = \pi {r}^{2} \frac{h}{3}}}}}}}$

Putting the values we get

$\frak{ Volume_{(Cone)} = 3.14 × (10)² × \frac{4}{3} }$

$\frak{Volume_{(Cone)} = 3.14 × 100 × \frac{4}{3} }$

$\frak{Volume_{(Cone)} = 314 \times \frac{4}{3} }$

$\frak{Volume_{(Cone)} = 418.67 \: ft³ }$

Henceforth, the volume is 418.67 ft³

Answer 2

Answer:

$\frac{400}{3} \pi$

Step-by-step explanation:

Formula for Cone: π$r^{2}\frac{h}{3}$

Since we have all the components, we can find the volume of the cone.

R = 10

H = 4

π$10^{2}\frac{4}{3}$

10×10 = 100

100π$}\frac{4}{3}$

$}\frac{4}{3}$×100

4       100          400

---  ×   -----    =    ------

3          1              3

Answer: $\frac{400}{3} \pi$

Hope this helped.