3 years ago

1. Simplify the rational expression (5 3/2)(5 1/2)

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

8 0

3.26
:good luckonyoure test

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The volume of a right circular cone is 2,279.64 in cubed. If the height of the cone is 18 in, what is the diameter of the cone?

Aleksandr [31]

ANSWER

A. 22 in

EXPLANATION

The volume of a cone is calculated using the formula:

$Volume = \frac{1}{3} \times \pi {r}^{2} h$

It was given that: the volume is 2,279.64 in³

The height of the cylinder is also given as: h=18 in.

We substitute, the given values into the formula to get:

$2279.64= \frac{1}{3} \times (3.14) \times {r}^{2} \times 18$

$2279.64= 18.84 {r}^{2}$

${r}^{2} = \frac{2279.64}{18.84}$

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$r = \sqrt{121}$

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Therefore the diameter is 2(11) which is equal to 22 inches.

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A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6. Find the lateral area of the pyramid.

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I need some help on this question please

elena-s [515]

Answer:

Step-by-step explanation:

Ok so first you need to know how to calculate the volume of a cylinder

I will put the formula here: V=πr2h

Since pi is equal to 3.14 as said in the problem we can simply divide 282.6 by pi, the radius and 2

That is equal to 282.6/3.14*3*2

A little calculation shows that, the answer is 15

Hope this helps :)

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