A cone has a slant length of 10 and a diameter of 8. Height is unknown.

Mathematics

1 answer:

patriot [66]3 years ago

6 0

Answer: 153.56

Step-by-step explanation:

Hi, to answer this question we have to apply the next formulas:

Volume of a cone: 1/3 π r² h

Where r is the radius and h is the height (unknown)

Diameter = r x 2

8 = 2r

8/2 =r

r = 4

Before calculating the volume we have to apply the Pythagorean Theorem to find h. (where the slant is the hypotenuse and h and r are the sides of the triangle)

10 ² = h² + 4²

Solving for h

100 = h² + 16

100-16 = h²

84= h²

√84 =h

9.16= h

Back on the volume formula:

V= 1/3 π r² h

V =1/3 π 4² (9.16) =153.56

You might be interested in

of the students in your class, 12% are left-handed. What fraction of the students are left-handed? Are there more right-handed o

Ksivusya [100]

Answer:

<em><u>The answer here is 3/25, more left handed students.</u></em>

Step-by-step explanation:

12/100 are left handed, which reduces to 3/25. This means that there are only 3 left handed kids for every 22 right handed kids, showing that there are more right handed students than left handed.

7 0

2 years ago

You roll a 4-sided die repeatedly. On your odd-numbered rolls (1st,3rd,5th, etc.) you are victorious if you get a 4. On your eve

Sunny_sXe [5.5K]

Answer:

E (Y) = 3

Step-by-step explanation:

If a 4-sided die is being rolled repeatedly; and the odd-numbered rolls (1st 3rd,5th, etc.)

The probability of odd number roll will be, p(T) = $\frac{1}{2}$