MATHEMATICS MIDDLE SCHOOL

Help Me Please!!!!1A basketball has a diameter of 14 inches. If it fits inside a cube-shaped box that has a side length of 13

inches, what is the volume, rounded to the nearest hundredth of a cubic inch, of the space inside the box

that is not taken up by the basketball?

Answers

Answer 1

Answer:

Answer:

The space inside the box = 2197 in³ - 1436.76 in³ is 760.245 in³.

Step-by-step explanation:

Here we have the volume of the cube box given by the following relation;

Volume of cube = Length. L × Breadth, B × Height, h

However, in a cube Length. L = Breadth, B = Height, h

Therefore, volume of cube = L×L×L = 13³ = 2197 in³

Volume of the basketball is given by the volume of a sphere as follows;

Volume = $(4)/(3) \pi r^3$

Where:

r = Radius = Diameter/2 = 14/2 = 7in

∴ Volume of the basketball = $(4)/(3) * \pi * 7^3 = 1436.76 \ in^3$

Therefore, the space inside the box that is not taken up by the basketball is found by subtracting the volume of the basketball from the volume of the cube box, thus;

The space inside the box = 2197 in³ - 1436.76 in³ = 760.245 in³.

Related Questions

4) Mike bought 2 cups, 1 bowl and 2 plates at a store. The cups cost $2.70 each, the bowl cost$1.75 and the plates were each $2.35. If he paid with a twenty dollar bill, how muchchange should he get back?
O.72 as a simplified fraction
Carla and rob left a 20% tip after having lunch at a restaurant the amount of the tip was $6 Carla's lunch cost $15 which equation can you use to find x, the cost of robs lunch
Does anyone know what 0.83 the 83 repeats
Aiden wants to find the mass of a bowling ball what unit of measurement would he use

Ruby ate 1 3 of a pizza, and Angie ate 1 5 of the pizza. How much of the pizza did they eat in all? A = 8 15 of the pizza B = 1 15 of the pizza C = 3 8 of the pizza D= 1 8 of the pizza

Answers

The amount of pizza that Ruby and Angie ate in all for this considered situation is given by: Option A: 8/15

How to add two fractions?

Let we have to add two fractions as:

$(a_1)/(b_1) + (a_2)/(b_2)$

Then we will find LowestCommon Multiple (LCM) of $b_1$ and $b_2$ . That will help to make the denominators same.

Once the denominators become same, the numerators can add up directly, giving us the finalresult of addition.

So, we're specified that:

Ruby ate 1/3 of a pizza
Angie ate 1/5 of the pizza

These 1/3 and 1/5 are parts of pizza.

If we add those parts which is eaten, we will get the total part of the pizza eaten.

Thus, we get:

Total part of the pizza eaten = (1/3 + 1/5) of a pizza.

The least common multiple of 3 and 5 is 15, because:

$3,6,9,12,15\n5,10,15$

(see the multiples of 3 and 5. The first common number as both's multiple is the least number which is multiple of both, and is 15).

Thus, we get:

$(1)/(3) + (1)/(5) = (1 * 5 + 1 * 3)/(15) = (8)/(15)$

Thus, the amount of pizza that Ruby and Angie ate in all for this considered situation is given by: Option A: 8/15

Learn more about fraction addition here:

brainly.com/question/17544795

A = 8/15 of the pizza
Well, 1/3 + 1/5 = (5+3)/ 15 = 8/15

The height ,H of a cylinder is 5 units less than 3 times the radius, r. What is an expression that can represent this

Answers

Answer:

H = 3 r - 5 .

Step-by-step explanation:

Given : The height ,H of a cylinder is 5 units less than 3 times the radius, r.

To find : What is an expression that can represent .

Solution : we have given that

The height ,H of a cylinder is 5 units less than

3 times of radius = 3 *r

H = 3 r - 5 ( negative sign for less than )

Therefore, H = 3 r - 5 .

H = 3r - 5 (equation)
3r - 5 (expression)

Mikes cat weighs 12 Pounds 9 Ounces. How many ounces does Mikes cat weigh?

Answers

The cat will weigh 201 ounces since 12*16+9=201 ounces

How do you know if a fraction is equal to one?

Answers

you would know because for example, if it's out of 4 and the fraction said 4/4, that would mean one. 3/3 would mean one. 2/2 and so on

2/2 = 1 and (1/3)^0 = 1 so x/x = 1 because there is same number and (x/y)^0= 1 because its 0 and 1/1 is always 1 these are the fractions that are always 1 :))
i hope this be helpful
have a nice day

It takes 154 cubes with side lengths of 1/2 inch to fill a rectangular prism. What is the volume of the rectangular prism? Show your work or justify your solution.