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vladimir1956 [14]
3 years ago
9

Show work please help

Mathematics
1 answer:
Snezhnost [94]3 years ago
4 0

Answer:

20 yd^2

Step-by-step explanation:

Your work is partially correct.

Assuming that the sides marked 8 yds and 2 yds are parallel, then the area of the trapezoid is

A =    ( 8 yds + 2 yds)

        ------------------------ * 4  =  20 yd^2

                      2

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Select the correct answer.
svet-max [94.6K]

The volume of the sphere will be 49π cubic cm. Then the correct option is C.

<h3>What is the volume of the sphere?</h3>

Let r be the radius of the sphere.

Then the volume of the sphere will be

V = 4/3 πr³ cubic units

The figure shows a vertical cross-section of a sphere inscribed in a right cone.

A vertical cross-section of a sphere inside a cone has a radius labeled as r. The height of the cone is 12 centimeters. The half length of the face of the cone is 5 centimeters.

Then the volume of the sphere will be

In ΔADF, we have

tan a = 5 / 12

      a = 22.61°

Then in triangle ΔABC, we have

   sin 22.61° = r / (12 - r)

           0.38 = r / (12 - r)

4.62 - 0.38r = r

           1.38r = 4.62

                  r = 3.34 cm

Then the volume of the sphere will be

V = 4/3 π(3.34)³

V = 49π cubic cm

Then the correct option is C.

More about the volume of the sphere link is given below.

brainly.com/question/9994313

#SPJ1

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