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kakasveta [241]
2 years ago
7

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!

Mathematics
1 answer:
frozen [14]2 years ago
4 0

Answer:

96π

Step-by-step explanation:

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

V=\frac{1}{3}πr^{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.)

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