All categories

3 years ago

The radius of the large sphere is double the radius of the

Mathematics

2 answers:

Aleonysh [2.5K]3 years ago

7 0

Answer:

8 times

Step-by-step explanation:

We know that the radius of smaller sphere is r,

The volume of sphere is given by:

$V_1=\frac{4}{3} \pi r^{3}$

where V_1 is the volume of the small sphere.

As we know that the radius of large sphere is double of the smaller sphere, the radius of large sphere will be 2r

Let V_2 be the volume of large sphere

$V_2=\frac{4}{3}\pi (2r)^{3} \\ =\frac{4}{3}\pi *8r^3$

Separating 8 aside

$V_2=8(\frac{4}{3}\pi r^{3})\\V_2=8V_1$

We can see that the volume of large sphere is eight times the volume of small sphere ..

VMariaS [17]3 years ago

4 0

Answer:

8 times

Step-by-step explanation:

Given

ratio of radii = a : b, then

ratio of volumes = a³ : b³

Here ratio of radii = 1 : 2, hence

ratio of volumes = 1³ : 2³ = 1 : 8

Thus the volume of the large sphere is 8 times the volume of the small sphere

You might be interested in

Derivative of modulus of cosx

quester [9]

Answer:

sin(mod(π/2 -x, π) -π/2) . . . . except undefined at odd multiples of π/2

Step-by-step explanation:

The derivative of the modulus of the cosine function is the same as the derivative of the cosine function between cusps: -sin(x), for -π/2 < x < π/2.

There are many ways to make that pattern repeat with period π. one of them is this:

(d/dx)|cos(x)| = sin(mod(π/2 -x, π) -π/2) . . . . . except undefined at x=π/2+kπ, k any integer

___

The graph shows the modulus of the cosine function along with its derivative as computed by the graphing calculator and its derivative as defined above.

7 0

3 years ago

PLEASE HELP ASAP, BRAINLEST

Artyom0805 [142]

Answer:

equation in standard form is -3x + 5y = -26

Step-by-step explanation:

standard form of equation of line is

Ax + By = C

where A,B and C are integers.

such line has slope -A/B

Another form of line equation is slope intercept form, which can be written as

y = mx+ c

since in problem m = 3/5

thus, equation is

y = 3/5 x + c

Given that (2,-4) passes through this line, this point will satisfy the above equation

-4 = 3/5 *2 + c

=> - 4 = 6/5 + c

=> c = -4 -6/5 = (-4*5 - 6)/5

=> c = (-20 - 6)/5 = -26/5

Thus, equation in slope intercept form is

y = 3/5 x -26/5

lets rewrite this equation in Ax + By = C

Multiplying LHS and RHS by 5 we have

5y =( 3/5 x)* 5 - (26/5 * 5)

=> 5y = 3x - 26

we have to bring 3x on LHS for that

we subtract 3x from both side

5y -3x = 3x - 26 -3x

=> 5y -3x = - 26

rearranging the equation

-3x + 5y = -26

Thus, equation in standard form is -3x + 5y = -26

6 0

2 years ago

A=lw solve for l trying to understand variables

natita [175]

If you're solving for I, then that means you need to get it by itself in one side, right?
then divide both sides by W and you'll get
I= A/W
which means that I is the division of A by W.
I hope this is the answer you're looking for!

3 0

3 years ago

Which angle is larger, angle B or angle E?

mars1129 [50]

Answer:

Step-by-step explanation:

<E is larger than <B

hope it helps

6 0

2 years ago

Write an equation of the cosine function with the given amplitude, period, phase shift, and vertical shift. amplitude: 2, period

mixas84 [53]

Answer:

$y=2\cos(2x+\frac{1}{4})-2$

$y=-2\cos(2x+\frac{1}{4})-2$

Step-by-step explanation:

$y=a cos(c(x-b))+d$ has:

1) amplitude=|a|

2) phase shift=b

3) period=2pi/c

d) vertical shift=d

--------------------------------------------------

You are given the amplitude is 2. This means a could either be 2 or -2.

You are given phase shift is -1/8. This means b is -1/8.

You are given the period is pi. So we need to solve pi=2pi/c.

pi=2pi/c

Dividing both sides by pi gives:

1=2/c

Multiply both sides by c gives:

c=2

The vertical shift is -2 so d=-2.

The equation could either be:

y=2cos(2(x-(-1/8)))-2

y=-2cos(2(x-(-1/8)))-2

Simplifying a little gives:

y=2cos(2x+1/4)-2

y=-2cos(2x+1/4)-2

8 0

3 years ago

Read 2 more answers