Question

What is the longest diameter of a cone that can be cut from a cube of length 7cm

Answer 1

Answer:

Step-by-step explanation:

What is the volume of the largest right circular cone that can be cut out from a cube of an edge of 7 cm?

The cube has an edge of 7cm. So each face will be a square of 7 cm side. The largest circle on the face will have a diameter of 7 cm or radius of 3.5 cm. The area of the circular base of the cone is thus (pi)*3.5^2 = 38.5 sq cm. The cone will have a height of 7 cm. Hence the volume of the cone will be (1/3)(pi)r^2*h = (1/3)*38.5*7 = 89.83.. cc.

Volume of the cube = 7^3 = 343 cc and the volume of the cone = 89.83.. cc.

Thus the volume of the largest cone will be 26.044% of the cube.

Answer 2

Hey mate!

Here is your answer...

The longest diameter of a cone that can be cut from a cube of length 7cm is 7cm .

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