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andrew11 [14]
3 years ago
15

A construction worker has a cable that is 8 yards long. He wants to cut it into 9 equal-length pieces. How long will each piece

of cable be? A. 17 yd B. 8/9yd C. 1/8yd D. 9/8yd
Mathematics
2 answers:
RideAnS [48]3 years ago
5 0
I think it would be B. hope this helps!
Orlov [11]3 years ago
4 0
At first, I knew the answer would be 1 1/8.
But that is not an option. Therefore the answer is D. 
For it cannot be A for that doesn't really make any sense. It cannot be B for it says the cable is 8 yards long and he wants to cut it into 9 equal pieces. So that would mean that that 8 would be the denominator not the numerator. So B is out. C is confusing, for we were not subtracting and if we were it would be -1/8 not 1/8. So what is left is D.   
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Need to find volume, step by step explanation pls <br><br><br><br>​
worty [1.4K]

Given:

A figure of combination of hemisphere, cylinder and cone.

Radius of hemisphere, cylinder and cone = 6 units.

Height of cylinder = 12 units

Slant height of cone = 10 units.

To find:

The volume of the given figure.

Solution:

Volume of hemisphere is:

V_1=\dfrac{2}{3}\pi r^3

Where, r is the radius of the hemisphere.

V_1=\dfrac{2}{3}(3.14)(6)^3

V_1=\dfrac{6.28}{3}(216)

V_1=452.16

Volume of cylinder is:

V_2=\pi r^2h

Where, r is the radius of the cylinder and h is the height of the cylinder.

V_2=(3.14)(6)^2(12)

V_2=(3.14)(36)(12)

V_2=1356.48

We know that,

l^2=r^2+h^2                               [Pythagoras theorem]

Where, l is length, r is the radius and h is the height of the cone.

(10)^2=(6)^2+h^2

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\sqrt{64}=h

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Volume of cone is:

V_3=\dfrac{1}{3}\pi r^2h

Where, r is the radius of the cone and h is the height of the cone.

V_3=\dfrac{1}{3}(3.14)(6)^2(8)

V_3=\dfrac{25.12}{3}(36)

V_3=301.44

Now, the volume of the combined figure is:

V=V_1+V_2+V_3

V=452.16+1356.48+301.44

V=2110.08

Therefore, the volume of the given figure is 2110.08 cubic units.

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3 years ago
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Step-by-step explanation:

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