6.04x10 minus 3 cubed

A sphere is just enclosed inside a right circular cylinder. If the volume of the sphere is 140 cm3, find the volume of the gap b

alexgriva [62]

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Find Radius :
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$\text {Volume of a sphere =} \dfrac{4}{3} \pi r^3$

$\dfrac{4}{3} \pi r^3 = 140$

$\pi r^3 = 140 \times \dfrac{3}{4}$

$\pi r^3 = 105$

$r^3 = \dfrac{105}{ \pi}$

$r = 3.22 \ cm$

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Find volume of the cylinder :
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$\text {Volume of the cylinder = } \pi r^2h$

$\text {Volume of the cylinder = } \pi ((3.22)^2(3.22 \times 2)$

$\text {Volume of the cylinder = } 209.77 \ cm^3$

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Find volume of the gap :
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$\text {Volume of gap = } 209.77 - 140$

$\text {Volume of gap = } 69.77 \ cm^3$

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$\bf \text {Answer : } 69.77 \cm^3$
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6 0

3 years ago

Can somebody please help???

beks73 [17]

Darnel needs to spend three days making jam if he wants to jar 15 liters.

Step-by-step explanation:

If you are to assume the relationship is proportional then if he makes 10 liters in 2 days you divide 10 by 2 and you get 5. This means he makes 5 liters a day. Then you add 5 to 10 and you get 15 which means you are adding another day(5) So he needs to work an extra day which would give you three dyas total. Hope this helped!

4 0

3 years ago

The question is below:

Ksivusya [100]

QUESTION -> {WHICH EQUATION DESCRIBES A LINEAR FUNCTION }. 

ANSWER : 

 B . 

 y =(1 — 6 ) × 

 or. 

 

 C . 

 y = (2) ×

HOPE IT HELPS .

<h2> THANK ME LATER </h2>

<h2> THANKS. </h2>

 

 

7 0

2 years ago

Use simultaneous equations to solve the following. Three kilograms of jam and two kilograms of butter cost $29 and six kilograms

artcher [175]

Answer:

The cost of 1kg jam is $7 and the cost of 1kg butter is $4

Step-by-step explanation:

Let jam = x

butter = y

3x + 2y = 29 -----(1)

6x + 3y = 54 -----(2)

(1)×2 ->

6x + 4y = 58 -----(3)

(3)-(2) ->

y = 4

suby=4into(2)

6x + 3(4) = 54

6x = 42

x = 7

(Correct me if i am wrong)

6 0

3 years ago

You are taking a multiple-choice test that has six questions. Each of the questions has three answer choices, with one correct a

Nostrana [21]

Answer:

729 ways

Step-by-step explanation:

Given

Number of questions = 6

Choices = 3

Required

Number of ways of answering the questions

For each of the 6 questions;

There are 3 possible ways of selecting an answer;

The possible ways for the 6 questions is:

$Possible\ Ways = 3 * 3 * 3 * 3 * 3 * 3$

$Possible\ Ways = 729$

Hence, there are 729 ways of answering the question

4 0

3 years ago