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Inessa05 [86]
3 years ago
12

What is the exact volume of the cone?

Mathematics
2 answers:
AlekseyPX3 years ago
7 0
The volume is 508.94 cm^3

Likurg_2 [28]3 years ago
5 0

volume of a cone = \pir²(h/3)

we are given the height (6cm) and radius (9cm) so we can plug in our values

\pi9²(6/3)

\pi81(2)

\pi162

since it is asking for an exact value for the volume, you can leave pi

v = 162\pi cm³

hope this helped

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Please help asap it will help very much
qwelly [4]

Answer:

180 cm²

Step-by-step explanation:

From inspection of the diagram, the surface area is made up of the area of 4 congruent triangles and the area of one square.

Area of a square = x² (where x is the length of one side)

⇒ area of the square = 6² = 36 cm²

Area of a triangle = 1/2 x base x height

⇒ area of one triangle = 1/2 x 6 x 12 = 36 cm²

Total surface area = 4 x area of one triangle + area of the square

                               = 4 x 36 + 36

                               = 144 + 36

                               = 180 cm²

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