Question

I will give brainliest to whoever helps me with this question. Also, if you could please explain to me how you solved it I would appreciate it!

Answer 1

Answer:

96π

Step-by-step explanation:

You will need the formula for the volume of a cone.

$V=\frac{1}{3}$π$r^{2}$h

r= 6 cm

To find the height, you need to use the Pythagorean theorem.

a²+ b² = c² (a and b are the 2 legs and c is the hypotenuse)

b = $\sqrt{{c^{2}-a^{2} }$

b= $\sqrt{10^{2}-6^{2} }$ = 8

h= 8 cm

remember PEMDAS!

$V=\frac{1}{3}$π$(6)^{2}$8

$V=\frac{1}{3}$π(36)8

$V=$ π(12)8

V= 96π

Answering in terms of π is more accurate because it is actually infinite so when it gets rounded to 3.14, that is only an approximation of pi. (π is actually 3.1415926535897932384626433 etc.)