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vesna_86 [32]
2 years ago
6

What is the volume of the cone? Use π ≈ 3.14.

Mathematics
2 answers:
Temka [501]2 years ago
6 0

Answer:

Option (a) is correct.

The volume of cone is 12.56 cubic meters.

Step-by-step explanation:

Given : A oblique cone with slant height = 5 units and diameter = 4 units.

We have to find the Volume of the given oblique cone.

Consider the given oblique cone with slant height = 5 units and diameter = 4 units.          

In a right angle triangle, the square of hypotenuse is equal to the sum of  square of base and perpendicular.

that is  h^2=b^2+p^2

Apply Pythagoras theorem,

We have,

h = 5 and b = 4

Thus, 5^2=4^2+p^2

Solve for p , we have,

25-16=p^2

9=p^2

Thus, p = 3 (as length cannot be negative)

Thus, the height of cone is 3 units

Volume of cone = \frac{1}{3}\pi r^2h

Put r = 2 and h = 3 and π ≈ 3.14.

We have,

Volume of cone = \frac{1}{3}\cdot 3.14 \cdot 4 \cdot3

Simplify, we have,

Volume of cone = 12.56 units³

Thus, The volume of cone is 12.56 cubic meters.

                           

                     

Korolek [52]2 years ago
3 0
12.56 cubic units.......
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