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fiasKO [112]
3 years ago
11

A spherical boulder is 18 ft in diameter and weighs almost 8 tons. Find the volume. Use 3.14 for piπ.

Mathematics
1 answer:
vampirchik [111]3 years ago
7 0

Answer:

Volume, V=3052.08\ ft^3

Step-by-step explanation:

It is given that,

Diameter of spherical boulder is 18 ft

Weight of spherical boulder is 8 tons.

We need to find the volume of spherical boulder. The formula of the volume of sphere is given by :

V=\dfrac{4}{3}\pi r^3

r is radius of spherical boulder, r = 9 ft

Substituting all values in above formula :

V=\dfrac{4}{3}\times 3.14\times (9)^3\\\\V=3052.08\ ft^3

The volume of spherical boulder is 3052.08\ ft^3.

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Answer:

<em>Answer: C.Fraction 11 and 1 over 4 cubic inches</em>

Step-by-step explanation:

The volume of a rectangular prism of length L, width W, and height H is given by:

V=LWH

The prism is packed with cubes of a side length of a=1/2 inch. The volume of each cube is:

V_c=a^3=\left(\frac{1}{2}\right)^3=\frac{1}{8}\ in^3

The prism is packed with L=5, W=3, and H=6, thus the volume (in cubes) is:

V=5*3*6=90\ cubes

Since each cube has a volume of \frac{1}{8} in^3:

V=90\cdot\frac{1}{8}=\frac{45}{4}

Expressing as a mixed fraction:

V=\frac{45}{4}=\frac{44+1}{4}=11\frac{1}{4}

Answer: C.Fraction 11 and 1 over 4 cubic inches

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2 years ago
The area of a rectangle is x2-13x+36 cm2. if its width is x-4 cm, what is length
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Step-by-step explanation:

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2 years ago
A square pyramid has a volume of 20 cubic feet and a base length of 5 feet. What is it's height?
erastova [34]

Answer:

The height of the pyramid is 2.4\ ft

Step-by-step explanation:

we know that

The volume of a square pyramid is equal to

V=\frac{1}{3}b^{2}h

we have

V=20\ ft^{3}

b=5\ ft

substitute and solve for h

20=\frac{1}{3}(5)^{2}h

60=(25)h

h=60/(25)=2.4\ ft

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3 years ago
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3 years ago
A quadrilateral with 90 degree angles is shown. The lengths of the left and right sides are 10 and 2 y + 4. The lengths of the t
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Answer: y=3

Step-by-step explanation:

Since the quadrilateral has 90 degree angles, it must be a a square or a rectangle. This means the measure of sides left and right are the same and the measure of sides top and bottom are the same.

To get the measure of y, you can use left and right or top nd bottom.

I'll use left and right. 10=2y+4 => 10-4=2y => 6=2y => y=3

You can check it by substituting. 2(3)+4=10      The answer is the measure of the right side, which is the same as the measure of the left side.

I hope this helps you!

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3 years ago
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