MATHEMATICS MIDDLE SCHOOL

a sphere fits snugly inside a 6-in. cube as shown. what is the volume of the region inside the cube but outside the sphere

Answers

Answer 1

Answer:

Volume of the region inside the cube but outside the sphere is 102.903 inches³.

What is Volume?

Volume of a three dimensional shape is the space occupied by the shape.

Given a cube.

Volume of a cube = a³

Here a is the side length of a cube.

Here side length of the cube = 6 inches

Volume of the cube = 6³ = 216 inches³

Volume of a sphere = $(4)/(3)$ π r³

Here diameter of the sphere = 6 inches

Radius of the sphere = 6/2 = 3 inches

Volume of sphere = $(4)/(3)$ π (3)³

= 113.097 inches³

Volume of the region inside the cube but outside the sphere is,

Volume of cube - Volume of sphere

216 inches³ - 113.097 inches³

102.903 inches³

Hence the volume of the region inside the cube but outside the sphere is, 102.903 inches³.

To learn more about Volume, click :

brainly.com/question/1578538

#SPJ5

Answer 2

Answer: The six inch cube has a volume of 216 in³.
6*6*6=216
The sphere has a volume of 105.975 in³ (assuming pi is 3.14)
Because the sphere fits snugly inside the cube, it has a diameter of 6 inches and a radius of three inches.
4/3 π r³
4/3 π 3³
4/3 π 27
4/3(3.14)(27)
105.975

The volume of the region outside the sphere but inside the cube can be found by subtracting the area of the sphere from the area inside the cube.
216 - 105.975 = 110.025

The volume of the region outside of the sphere but inside the cube is 110.025 in ³

Related Questions

Solve for x and y please!
What is 42789 x 54678
HELP ME PLEASE :( ? PLEASE
Complete the equation of the line through (-6,-5) and (−4,−4)Use exact numbers.y=Please help me!!!!
Consider the expression 3x(x-2) + 2 and 2x^2 + 3x - 12. A. Evaluate each expression for x = 2 and for x = 7. Based on your results, do you know whether the two expressions are equivalent? Explain.B. Evaluate each expression for x = 5. Based on your results, do you know whether the two expressions are equivalent? Explain.

Witch of the number is composite 29,39,59 and 79?

Answers

39 is the answer because 13*3=39

What is the length of a regular swimming pool with an area 180 square feet and a width of 12 feet

Answers

Answer:15 feet

Step-by-step explanation:

A=lw

180=L*12

15=l

Own arranges 48 beads into an array. There are 6 rows of beads. How many columns are there.

Answers

Answer:

There will be 8 columns

Step-by-step explanation:

So first you get 48 and divide it by 6 then you get 8 as your answer

Quadrilateral A B C D is shown. The uppercase right angle, angle A, is 79 degrees.What are the remaining angle measures if the figure is to be a parallelogram?

Answers

Answer:

∠C=79°

∠B=∠D=101°

Step-by-step explanation:

-A parallelogram has a pair of parallel opposite sides.

-It's opposite angles are also equal.

#Given the parallelogram ABCD, and that angle A=79°, the remaining angles can be found as:

Angle A is opposite to angle C

$\angle A \ is \ opposite \ to \ \angle C\n\n\angle A=\angle C\n\n\angle C=79\textdegree$

Hence ∠C=79°

#Since it's a parallelogram , the two remaining angles are opposite and equal:

$\angle B=\angle D=0.5(360\textdegree-2* 79\textdegree)\n\n=101\textdegree$

Hence ∠B=∠D=101°

Answer:

m∠B = 101

m∠C = 79

m∠D = 101

Whats the step to find the answer

Answers

21 × 10 = 210
210 ÷ 55 = 3.82
3.82 ÷ 10 =0.382

A juice box is 2 inches long 1.5 inches and 4 inches tall. A package has 6 juice boxes, a shipping box holds exactly 24 packages of juice boxes. What is the volume of the shipping box