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2 years ago

Sentences using the words chortled and phenomenon

1 answer:

6 0

The girl chortled at the phenomenon going on between the dog and the cat.

(Hope that's ok, this is my first time answering a question!)

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A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.

Goshia [24]

Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

Volume of the cylinder = $21m^3$

Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

<em>Using the volume formula of a cylinder</em>

The formula goes thus

$V = \pi r^2h$

Substitute 21 for V; this gives

$21 = \pi r^2h$

Divide both sides by h

$\frac{21}{h} = \frac{\pi r^2h}{h}$

$\frac{21}{h} = \pi r^2$

The next step is to solve for the volume of the sphere using the following formula;

$V = \frac{4}{3}\pi r^3$

Divide both sides by r

$\frac{V}{r} = \frac{4}{3r}\pi r^3$

Expand Expression

$\frac{V}{r} = \frac{4}{3}\pi r^2$

Substitute $\frac{21}{h} = \pi r^2$

$\frac{V}{r} = \frac{4}{3} * \frac{21}{h}$

$\frac{V}{r} = \frac{84}{3h}$

$\frac{V}{r} = \frac{28}{h}$

Multiply both sided by r

$r * \frac{V}{r} = \frac{28}{h} * r$

$V = \frac{28r}{h}$ ------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

$h = D$ , where D represents diameter of the sphere

Recall that $D = 2r$

So, $h = D = 2r$

$h = 2r$

Substitute 2r for h in equation 1

$V = \frac{28r}{2r}$

$V = \frac{28}{2}$

$V = 14$

Hence, the volume of the sphere is 14m³

4 0

3 years ago

Read 2 more answers

Given f(x)=6x+4 and g(x)=3x+7 then what is f(g(1))

iren [92.7K]

10 is the best answer

8 0

3 years ago

the prime factorization of a number is 2 to the power of 3 x 3 to the power of 2 x5 wich statement is true about these factors?

Naddik [55]

Answer:

Fifteen is a factor of the number because both 3 and 5 are prime factors.

Step-by-step explanation:

2^3 * 3^2 * 5

= 2 * 2 * 2 * 3 * 3 * 5

As you can see from, the prime factors are 2, 3, and 5.

3 × 5 = 15, option A is correct.

7 0

2 years ago

Read 2 more answers

ILL BRAINLIEST YOU PLEASE HELP ME

Rudik [331]

Answer:

AS IT IS RIGHT ANGLE .

THEREFORE, 1 ANGLE =90°

A=55°,

LET LAST ANGLE BE Y.

THEREFORE, Y=90-55=35°

RATIO OF A:Y=55:35=11/7

RATIO OF ANÔTHER SIDE :X=11:7

HYPOTENOUES=8

THEREFORE8^2=11X^2+7X^2

64=121X^2+49X

6 0

2 years ago

Answer all five questions below

Svetach [21]

Answer:

use a calculator

Step-by-step explanation:

there for question b

6 0

2 years ago