Determine if the set is empty<br> {x|x is a planet in our solar system whose name begins with F}

A cylinder has a helght of 16 cm and a radius of 5 cm. A cone has a helght of 12 cm and a radius of 4 cm. If the cone is placed

erma4kov [3.2K]

Answer:

1055.04 cm³

Step-by-step explanation:

Given that,

Height of a cylinder, h = 16 cm

Radius of the cylinder, r = 5 cm

The height of a cone, h' = 12 cm

The radius of a cone, r' = 4 cm

The volume of the cylinder will be :

$V=\pi r^2 h\\\\=3.14\times 5^2\times 16\\\\=1256\ cm^3$

The volume of a cone is given by :

$V'=\dfrac{1}{3}\pi r^2 h\\\\=\dfrac{1}{3}\times 3.14\times (4)^2\times 12\\\\=200.96\ cm^3$

Volume of the air surrounding the cone Inside the cylinder = 1256 - 200.96 = 1055.04 cm³

Hence, the required answer is equal to 1055.04 cm³.

3 0

3 years ago

Helppp this is my math test <br><br> Which model is 85% shaded?

Anettt [7]

Answer:

Model 1 represents 85% shaded area.

Step-by-step explanation:

Here, each model consists of equal sized rectangles.

Please refer to attached figure to know the model number.

Model 2 (on top right of question figure) contains a total of 20 such rectangles out of which 13 are shaded. As per formula of percentage:

$\text{Percentage of shaded area} = \dfrac{\text{Number of shaded rectangles}}{\text{Total number of rectangles}} \times 100\\\Rightarrow \dfrac{13}{20}\times 100 = 65\%$

Model 3 (on bottom left of question figure) contains a total of 16 such rectangles out of which 10 are shaded. As per formula of percentage:

$\text{Percentage of shaded area} = \dfrac{10}{16}\times 100 = 62.5\%$

Model 4 (on bottom right of question figure) contains a total of 16 such rectangles out of which 13 are shaded. As per formula of percentage:

$\text{Percentage of shaded area} = \dfrac{13}{16}\times 100 = 81.25\%$

Model 1 (on top left of question figure) contains a total of 20 such rectangles out of which 17 are shaded. As per formula of percentage:

$\text{Percentage of shaded area} = \dfrac{17}{20}\times 100 = 85\%$

Hence, model 1 is the correct answer.

3 0

3 years ago

Find the area of polygon

Mumz [18]

Answer:

87 cm²

Step-by-step explanation:

there is 1 triangle and 1 rectangle in the diagram. so you have to find the area of the both polygons and sum up to find the total area of polygon

area of triangle formula:

$\frac{1}{2} \times base \times height$

1) area of triangle AED

base = 12 cm

height = 4.5 cm

area:

$\frac{1}{2} \times 12 \times 4.5 = 27 {cm}^{2}$

area of rectangle formula:

$length \times height$

2) area of rectangle ABCD

length = 12cm

height = 5 cm

area:

$12 \times 5 = 60 \: cm {}^{2}$

3) area of whole polygon

= area of triangle AED + area of rectangle ABCD

= 27 cm² + 60 cm²

= 87 cm²

7 0

3 years ago

Help please !! What is 10.50-(2.25)=?

Margarita [4]

Answer:

10.5−2.25

=10.5−2.25

=10.5+−2.25

=8.25

Step-by-step explanation:

I hope this helps you

6 0

3 years ago

Read 2 more answers

A charitable organization holds a canned food drive to benefit the local food bank. The number of cans collected by the voluntee

kirill115 [55]

Answer:

Step-by-step explanation:

Minimum: 2

Quartile Q1: 4.5

Median: 10

Quartile Q3: 15

Maximum: 19

8 0

2 years ago

Determine if the set is empty {x|x is a planet in our solar system whose name begins with F}