Question

A town is using a storage container in the shape of an inverted cone to

Answer 1

Using the volume of the cone, it is found that:

Height and diameter are both 33.7 feet.

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The volume of a cone with height h and diameter d is given by:

$V = \frac{\pi d^2h}{12} = \frac{3.1415 d^2h}{12}$

In this question:

• Diameter and height equal, thus $d = h$.
• Volume of 10,000 cubic feet, thus $V = 10000$

$10000 = \frac{3.1415h^3}{12}$

$3.1415h^3 = 120000$

$h^3 = \frac{120000}{3.1415}$

$h^3 = 38197.19$

$h = \sqrt[3]{38197.19}$

$h = 33.7$

Thus, both are 33.7 feet.

A similar problem is given at brainly.com/question/16717748