A sphere has a diameter of 12 ft. what is the volume of the sphere? give the exact value in terms of .

Answers

Answer 1

Answer: Formula of volume of a Sphere is : V = 4/3 πr³

Here, Diameter (2r) = 12, so radius (r) = 12/2 = 6 feet
Substitute it into the formula,
V = 4/3 π(6)³
V = 4/3 *216π
V = 288π Ft² [ Answer in the term of π ]

You can also solve it for numeral value by substituting the value of π = 22/7
V = 288 * 22/7 = 905.15 Ft² [ Answer in numbers ]

Hope this helps!

Answer 2

Answer:

The volume of the sphere is 905.15 square feet.

Given

A sphere has a diameter of 12 feet.

What is the volume of the sphere?

The volume here depends on the diameter of the radius of the sphere since if we take the cross-section of the sphere, it is a sphere.

The surfacearea of the sphere is the area or region of its outer surface.

The volume of the sphere is calculated by the following formula;

$\rm Volume \ of \ sphere = (4)/(3)\pi r^3$

Where r is the radius of the sphere.

The radius of the sphere is given by;

$\rm Radius = (Diameter)/(2)\n\nRadius = (12)/(2)\n\nRadius = 6 \ feet$

Therefore,

The volume of the sphere is;

$\rm Volume \ of \ sphere = (4)/(3)\pi r^3\n\n\rm Volume \ of \ sphere = (4)/(3) * 3.14 * (6)^3\n\n\rm Volume \ of \ sphere = (4)/(3) * 3.14 * 216\n\n\rm Volume \ of \ sphere = 905.15 \ feet^2$

Hence, the volume of the sphere is 905.15 square feet.

To know more about the Volume of the sphere click the link given below.

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Which algebraic expression is a difference with two terms? A. 5y – 7 B.5(y – 6) C.3y + 1 D.–2y + 5 + 3

Answers

The algebraic expression is a difference between two terms will be 5y - 7. Thus, the correct option is A.

What is Algebra?

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

An algebraic expression that is created by removing two terms is known as a difference between two terms. Only one of the suggested expressions corresponds to this description:

⇒ 5y - 7

The difference between the terms 5y and 7, which are being subtracted from one another, is represented by this equation.

Thus, the correct option is A.

More about the Algebra link is given below.

brainly.com/question/953809

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A. The two terms are 5y and -7, and it is a difference because of the - sign between them.

Why can't you factor 2cosx^2+sinx-1=0 ?

Answers

$2cos^2x+sinx-1=0\n\n2(1-sin^2x)+sinx-1=0\n\n2-2sin^2x+sinx-1=0\n\n-2sin^2x+sinx+1=0\n\n-2sin^2x+2sinx-sinx+1=0\n\n-2sinx(sinx-1)-1(sinx-1)=0\n\n(sinx-1)(-2sinx-1)=0\iff sinx-1=0\ or\ -2sinx-1=0\n\nsinx=1\ or\ -2sinx=1\n\nsinx=1\ or\ sinx=-(1)/(2)\n\nx=(\pi)/(2)+2k\pi\ or\ x=-(\pi)/(6)+2k\pi\ or\ x=(7\pi)/(6)+2k\pi\ where\ k\in\mathbb{Z}$

$2cosx^2+sinx-1=2(1-sin^2x)+snx-1=\n\n=2(1-sinx)(1+sinx)-(1-sinx)=(1-sinx)[2(1+sinx)-1]=\n\n=(1-sinx)(2+2sinx-1)=(1-sinx)(1+2sinx)\n\n2cosx^2+sinx-1=0\ \ \ \Leftrightarrow\ \ \ (1-sinx)(1+2sinx)=0\n\n1-sinx=0\ \ \ \ \ or\ \ \ \ \ 1+2sinx=0\n\n1)\ \ \ 1-sinx=0\ \ \ \Rightarrow\ \ \ sinx=1\ \ \ \Rightarrow\ \ \ x= ( \pi )/(2) +2k \pi ,\ \ \ k\in I\n\n$

$2)\ \ \ 1+2sinx=0\ \ \ \ \ \ \Rightarrow\ \ \ sinx=- (1)/(2)\n\n \Rightarrow\ \ \ x_1=( \pi + ( \pi )/(6) )+2k \pi ,\ \ \ \ \ \ x_2=( - ( \pi )/(6) )+2k \pi,\ \ \ \ \ \ k\in I\n\n.\ \ \ \ \ \ x_1=(7 \pi )/(6) +2k \pi ,\ \ \ \ \ \ \ \ \ \ \ \ x_2=-( \pi )/(6) +2k \pi,\ \ \ \ \ \ \ \ \ k\in I\n\nAns.\ x=-( \pi )/(6) +2k \pi\ \ \ or\ \ \ x= ( \pi )/(2) +2k \pi\ \ \ or\ \ \ x=(7 \pi )/(6) +2k \pi,\ \ \ k\in I$

What is 20 percent of 70 plants

Answers

$p\%=(p)/(100)\n\n20\%=(20)/(100)=(2)/(10)=0.2\n\n20\%\ of\ 70\ plants:\n\n\boxed{0.2\cdot70\ plants= 14\ plants}$

What is the value of x?

Answers

Answer:

x = 7 cm

Step-by-step explanation:

The two triangles are similar so ...

x/(6 cm) = (42 cm)/(36 cm)

Multiplying by 6 cm, you get ...

x = (6 cm)(42 cm)/(36 cm) = (6 cm)(7/6)

x = 7 cm

Only deposit 4000 between two savings accounts one account paying 4% simple interest in the other page 2% in the end of one year only hair $140 in interest for both accounts how much money did Ernie deposit in the account that paid 4% interest

Answers

Idek shebebeheueheuebebeje

A cylinder has a height of 5 meters and a diameter that is 4 times the measure of the height. Using 3.14 for pi, which of the following can be used to calculate the volume?

Answers

The volume of the cylinder 1,570 square meter. This is calculated using the formula volume is equal to height times Pi times radius squared. We first solve the radius which is 5 meters times 4 equals to 20 meters, this is the diameter of cylinder. But we need the radius, so 20 meters divided by 2 is equals to 10. Then substituting the given figure to the formula, Volume = 5 (3.14) (10), it will give us 1,570 square meter.

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