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arlik [135]
3 years ago
15

Can someone answer by EXPLAINING the question detailed please I am trying to get it

Mathematics
1 answer:
lidiya [134]3 years ago
3 0
I am assuming you were supposed to be using Pythagorean theorem. So I will help you solve it that way. As you know Pythagorean theorem needs a right angle and the three sites.Because the line is a tangential wine that means that it is perpendicular to a radius; therefore, that’s the right angle. r and 120 are legs, a & b. The hypotenuse is 80 plus what? How long? 80+ r.
Pythagorean Theorem:
A^2 + b^2 = c^2
120^2 + r^2 = (80 + r)^2
(120)(120) + r^2 = (r + 80)(r +80))
14400+ r^2 = r^2 + 160r + 6400
8000=160r
R=5 ft.
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Read 2 more answers
3. A balancing balloon toy is in the shape of a hemisphere (half-sphere) attached to the base of a cone. If the toy is 4ft tall
Katen [24]

Answer:

The volume of the toy is V=5.23\ ft^3

Step-by-step explanation:

step 1

Find the volume of the hemisphere

The volume of the hemisphere is given by the formula

V=\frac{2}{3}\pi r^{3}

In this problem, the wide of the toy is equal to the diameter of the hemisphere

so

D=2\ ft

r=2/2=1\ ft ----> the radius is half the diameter

substitute

V=\frac{2}{3} \pi (1)^{3}=\frac{2}{3} \pi\ ft^3

step 2

Find the volume of the cone

The volume of the cone is given by

V=\frac{1}{3}\pi r^{2}h

we know that

The radius of the cone is the same that the radius of the hemisphere

so

r=1\ ft

The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy

h=4-1=3\ ft

substitute the given values

V=\frac{1}{3}\pi (1)^{2}(3)=\pi\ ft^3

step 3

Find the volume of the toy

we know that

The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.

so

V=(\frac{2}{3} \pi+\pi)\ ft^3

V=(\frac{5}{3}\pi)\ ft^3

assume

\pi=3.14

V=\frac{5}{3}(3.14)=5.23\ ft^3

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4 years ago
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