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Anni [7]
3 years ago
7

What is the volume of the sphere?

Mathematics
2 answers:
Anarel [89]3 years ago
8 0

Answer:

4.19 ft³ (3 sf) or (4/3)pi ft³

Step-by-step explanation:

Volume = (4/3) × pi × r³

= (4/3) × pi × 1³

= (4/3) pi

= (4/3) × 3.14

= 4.186666667 ft³

Ilia_Sergeevich [38]3 years ago
7 0

Answer:

V = 4/3 pi or approximately 4.187 ft^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

The radius is 1 ft

V = 4/3 pi (1)^3

V = 4/3 pi

We can approximate pi by 3.14

V = 4/3 (3.14)

V = 4.186666666 ft^3

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Find the volume of a regular hexahedron if one of the diagonals of its faces is 8 root 2 inches.
Naily [24]
The answer is 114sqrt{6} in³

A regular hexahedron is actually a cube. 

Diagonal of a cube D is a hypotenuse of a right triangle which other two legs are face diagonal (f) and length of a side (a):
D² = f² + a²

Face diagonal is a hypotenuse of a right triangle which sides are a and a:
f² = a² + a² =2a²

D² = f² + a²
f² = 2a²

D² = 2a² + a² = 3a²
D = √3a² = √3 * √a² = √3 * a = a√3

Volume of a cube with side a is: V = a³
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⇒ a = D/√3

V = a³ = (D/√3)³

We have:
D = 8√2 in

V= (\frac{D}{ \sqrt{3} } )^{3} =( \frac{8 \sqrt{2} }{ \sqrt{3} } )^{3}=( \frac{8 \sqrt{2} * \sqrt{3} }{ \sqrt{3}* \sqrt{3}} )^{3} =( \frac{8 \sqrt{2*3} }{ \sqrt{3*3}} )^{3} =( \frac{8 \sqrt{6} }{ \sqrt{3^{2} }} )^{3} =( \frac{8 \sqrt{6} }{ 3} )^{3} = \\ \\ = \frac{ 8^{3} *( \sqrt{6} )^{3}}{3^{3}} = \frac{512* \sqrt{6 ^{2} }* \sqrt{6} }{27} = \frac{512*6* \sqrt{6} }{27} = 114sqrt{6}
8 0
3 years ago
the vertex of this parabola is at (-2,-3). When the x. value is -1and the y value is -5, what is the coefficient of the squared
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scoray [572]

Answer

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Step-by-step explanation:

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hichkok12 [17]

Answer:

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Step-by-step explanation:

<4 and <8 are corresponding angles

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4 0
3 years ago
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2 years ago
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