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2 years ago

Last week Lisa ran 34 miles. less than

Mathematics

1 answer:

ankoles [38]2 years ago

3 0

Answer:

Shanice ran 42 miles.

Step-by-step explanation:

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A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inc

Bond [772]

The relationship is that two times the volume of cylinder is volume of cone

Solution:

Given that, cylinder and a cone have the same diameter: 8 inches

Diameter = 8 inches

Radius is diameter divided by 2

$radius = \frac{diameter}{2}\\\\radius = \frac{8}{2} = 4$

Radius = 4 inches

Let us find the volume of cylinder and cone

Volume of cylinder:

$volume = \pi r^2 h$

Radius = 4 inches

The height of the cylinder is 3 inches

height = 3 inches

Substituting the values, we get

$volume = 3.14 \times 4^2 \times 3\\\\volume = 3.14 \times 16 \times 3\\\\volume = 150.72$

Thus volume of cylinder is 150.72 cubic inches

Volume of cone:

$volume = \frac{\pi r^2h}{3}$

Radius = 4 inches

The height of the cone is 18 inches

height = 18 inches

Substituting the values, we get

$volume = \frac{3.14 \times 4^2 \times 18}{3}\\\\volume = 3.14 \times 16 \times 6\\\\volume = 301.44$

Thus volume of cone is 301.44 cubic inches

What is the relationship between the volume of this cylinder and this cone?

Volume of cylinder is 150.72 cubic inches

Volume of cone is 301.44 cubic inches

On observing the volume of cylinder and cone, we find that two times the volume of cylinder is volume of cone

$2 \times \text{Volume of cylinder} = \text{Volume of cone}$

$2 \times 150.72 = 301.44\\\\301.44 = 301.44$

Thus the relationship between the volume of this cylinder and this cone is that two times the volume of cylinder is volume of cone

5 0

4 years ago

Many practical applications require calculations of area. some of these calculations are straightforward, but others are more di

pochemuha

Area of a rectangle is given by multiplying the length and the width

Let's length be $'l'$ and width be $'w'$ , then the area is

A = $l$ × $w$

8 0

4 years ago

2 (3*5) divided 2 to the secound power + 1

Levart [38]

Answer 6

Step-by-step explanation:

remove the para-these 2 x 3 x 5 / 2 power of 2 + 1

you get 30/ 5

30/5 =

6 therefore your answer is 6

5 0

3 years ago

Write a polynomial equation of least degree with roots 2, -1 and 4.

Rasek [7]

A polynomial with roots a and b is (x - a)(x - b).

(x - 2)(x - (-1))(x - 4) = 0

(x - 2)(x + 1)(x - 4) = 0

has roots 2, -1, and 4.

3 0

3 years ago

If there are 32 boys and 16 girls in a room, fill out all of the possible ratios of boys to girls that could be made.

Flauer [41]

Answer:

1) 1:2

2) 2:4

3) 4:8

4) 8:16

5) 16:32

4 0

2 years ago

Read 2 more answers