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xenn [34]
3 years ago
13

Is 4 m greater or less than 400 dm

Mathematics
2 answers:
mestny [16]3 years ago
6 0
4 m is less than 400 dm
vovikov84 [41]3 years ago
3 0
400 dm is greater than 4m... hope this helps
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Consider this sphere inside the cylinder. Which statements are true? Check all that apply. NEED HELP ASAP​
-Dominant- [34]

Option A: The height of the cylinder is equal to the diameter of the sphere.

Option C: The radius of the sphere is half the height of the cylinder.

Option E: The volume of the sphere is two-thirds the volume of the cylinder.

Solution:

The sphere is inside the cylinder.

Let r be the radius of the sphere.

Option A: The height of the cylinder is equal to the diameter of the sphere.

The sphere is fully occupied the cylinder.

If we draw the vertical line through enter of the sphere, which is equal to the height of cylinder.That is h = d. It is true.

Option B: The height of the cylinder is two times the diameter of the sphere.

That is h = 2d. From the above option, we know that h = d.

So, it is not true.

Option C: The radius of the sphere is half the height of the cylinder.

we know that diameter = 2 × radius (d = 2r)

From option A, we have h = d.

Substitute d = 2r, we get

⇒ h = 2r

Divide by 2 on both sides, we get

$\Rightarrow \frac{h}{2}=r

Therefore, it is true.

Option D: The diameter of the sphere is equal to the radius of the cylinder.

It is not true, because diameters of both cylinder and sphere are equal.

Option E: The volume of the sphere is two-thirds the volume of the cylinder.

Radius of cylinder and sphere = r

Height of cylinder h = 2r (by option C)

Volume of cylinder = Volume of sphere

  $\Rightarrow \pi r^2 h = \frac{4}{3} \pi r^3 (formula)

$\Rightarrow \pi r^2 (2r) = \frac{2\times2}{3} \pi r^3

$\Rightarrow 2 \pi r^3= \frac{2}{3} \times 2\pi r^3

Hence it is true.

Option A, option C and option E are true.

6 0
3 years ago
Read 2 more answers
Roy has bought two square photo frames. The ratio of their sides is 4:1. If PQ = 12 inches, what is AB? A. 12 in. B. 9 in. C. 6
aleksklad [387]

Answer:

D. 3

Step-by-step explanation:

If the ratio of their sides is 4:1, and if PQ=12 inches, then Ab=12/4=3 inches.

6 0
3 years ago
TRANSLATE EACH SENTENCE INTO AN EQUATION.
Oksanka [162]
7.
The Pacific Ocean = 46% of Earth (P = 46%)
The Land on Earth = 54% of Earth (E = 54%)

8.
One Fence Per Yard = $1.75

$73.50 - $3.50 (The Tax) = $70

$70 Divided by $1.75 = 40 Yards


5 0
2 years ago
Can someone please help im struggling
NNADVOKAT [17]

Answer:

81 units³

Step-by-step explanation:

V = Length x Widht x Height

= 9 x 3 x 3

= 81 units³

5 0
2 years ago
a vendor has 130,240and 150 oranges to put into bags so that each bag has the same number and there are no oranges left over.wha
almond37 [142]

is this multiple choice?

6 0
2 years ago
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