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2 years ago

A cylinder has volume 78 cm. What is the volume of a cone with the same radius and height?

Mathematics

1 answer:

Dimas [21]2 years ago

5 0

Answer:

26 cm³

Step-by-step explanation:

A cone is 1/3 the volume of a cylinder with the same dimensions

78/3= 26

Volume= 26 cm³

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Semicircles

Studentka2010 [4]

Answer:

The area of the shaded portion of the figure is $9.1\ cm^2$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The shaded area is equal to the area of the square less the area not shaded.

There are 4 "not shaded" regions.

step 1

Find the area of square ABCD

The area of square is equal to

$A=b^2$

where

b is the length side of the square

we have

$b=4\ cm$

substitute

$A=4^2=16\ cm^2$

step 2

We can find the area of 2 "not shaded" regions by calculating the area of the square less two semi-circles (one circle):

The area of circle is equal to

$A=\pi r^{2}$

The diameter of the circle is equal to the length side of the square

$r=\frac{b}{2}=\frac{4}{2}=2\ cm$ ---> radius is half the diameter

substitute

$A=\pi (2)^{2}$

$A=4\pi\ cm^2$

Therefore, the area of 2 "not-shaded" regions is:

$A=(16-4\pi) \ cm^2$

and the area of 4 "not-shaded" regions is:

$A=2(16-4\pi)=(32-8\pi)\ cm^2$

step 3

Find the area of the shaded region

Remember that the area of the shaded region is the area of the square less 4 "not shaded" regions:

$A=16-(32-8\pi)=(8\pi-16)\ cm^2$

---> exact value

assume

$\pi =3.14$

substitute

$A=(8(3.14)-16)=9.1\ cm^2$

8 0

3 years ago

the aquarium is a rectangular prism with dimensions 30in by 20in by 16 in. estimate the maximum volume of water it can hold

saw5 [17]

Answer:

9600 sq in

Step-by-step explanation:

30 x 20 x 16 = 9600

6 0

2 years ago

6 Which expression below has a coefficient of 3?

deff fn [24]

Answer: C.

Step-by-step explanation:

C. is the only one with a 3 right next to the x. In 3x, 3 would be the coefficient)

6 0

2 years ago

At barlow school 4/9 of the 873 students are boys at willow school 2/3 of the 630 students are girls which school has the greate

marishachu [46]

Answer:

There are 178 more boys in Barlow school as compared to Willow school.

Step-by-step explanation:

We are given the following in the question:

Barlow school:

Total number of students = 873

Number of boys =

$=\dfrac{4}{9}\times 873 = 388$

Willow school:

Total number of students = 630

Number of girls =

$=\dfrac{2}{3}\times 630 = 420$

Number of boys =

Total number of students - total number of girls

$=630-420 = 210$

Thus, Barlow school has greater number of boys than Willow school.

Difference between the number of boys =

$=388-210\\=178$

Thus, there are 178 more boys in Barlow school as compared to Willow school.

7 0

3 years ago

(05.02 LC)<br> Which equation does the graph below represent?

NISA [10]

Answer:

I think y= -1/3x

sorry if wrong

Step-by-step explanation:

7 0

3 years ago