3 years ago

The cylinders are similar. What is the volume of the red cylinder?

Mathematics

1 answer:

PolarNik [594]3 years ago

3 0

Answer:

150.8

Step-by-step explanation:

Volume of big cylinder = pi * r^2 * h

small cylinder has a radius half the lenght of big cylinder, so height is also half of the big cylinder, since they are similar

so volume of small cylinder= pi * (r/2)^2 * h/2 = (pi * r^2 *h)/8= 1206/8= 150.75

You might be interested in

What is the length of the segment connecting the points (−9, 3) and (−9, −2)?

Stels [109]

It is 5 units

because -9,3 is up and -9,-2 is down
5

6 0

3 years ago

A force of 9 lb is required to hold 35lb crate on a hill. What angle does the hill make with the horizontal?

kenny6666 [7]

Answer: $14.9^{\circ}$

Step-by-step explanation:

Given

Applied force is 9 lb to hold of 35 lb crate on a hill

Suppose the hill makes an angle of $\theta$ with horizontal

There will be two component of weights i.e. along and perpendicular to the hill

Only the component along the hill pulls the crate backwards

So,

$\Rightarrow 35\sin \theta=9\\\\\Rightarrow \sin\theta =\dfrac{9}{35}\\\\\Rightarrow \theta =14.89^{\circ}\approx 14.9^{\circ}$

8 0

3 years ago

A small rectangular tissue box is 0.5 feet long, 0.2 feet wide, and 0.3 feet deep. The box is filled completely with tissues

Verizon [17]

Answer:

the volume of the tissue box would be 0.2×0.5×0.3. the volume of a rectangular prisim is V=l×w×h

6 0

3 years ago

Find the length of side x in simplest radical form with a rational denominator.

Art [367]

1+3=61-1=8 so therefore the side length is chocolate

5 0

3 years ago

What is the volume of a cone with a radius of 6 cm and a height of 12 cm? use 3.14 for pi. round your answer to the nearest hund

natima [27]

The answer is 452.16 cm³.
Formula to calculate the volume of cone = V = πr²x h/3
Now r = 6 cm and h = 12cm, and value of π = 3.14
By putting the values,
V = (3.14) (6)² (12/3) = (3.14)(36)(4)
V = 452.16 cm³

3 0

3 years ago