Answer:
6283 in³
Step-by-step explanation:
The largest sphere that can fit into the cardboard box must have its diameter, d equal to the length, L of the cardboard box.
Since the cardboard box is in the shape of a cube, its volume V = L³
So, L = ∛V
Since V = 12000 in³,
L = ∛(12000 in³)
L= 22.89 in
So, the volume of the sphere, V' = 4πr³/3 where r = radius of cube = L/2
So, V = 4π(L/2)³/3
= 4πL³/8 × 3
= πL³/2 × 3
= πL³/6
= πV/6
= π12000/6
= 2000π
= 6283.19 in³
≅ 6283.2 in³
= 6283 in³ to the nearest whole cubic inch
Answer:
answer is 75 square feet
Step-by-step explanation:
area is length time width
8×6=48
to find area of triangle is length time witdht/height divided by 2
6×4=24/2=12
5×6=30/2=15
15+12+48=75
Answer:
The endpoint coordinates are (3,12)
Step-by-step explanation:
You multiply 4 by 2 which gives you 8 and write the equation
then you subtract 5 from 8 to get 3 for the x coordinate.
You multiply 3 by 2 which gives 6 and writhe the equation
then you substitute the -6 for +6 and add +6 and 6 to get 12 for the y coordinate.
To check use the midpoint formula with coordinates D and your endpoint coordinates
and you get the answer for the midpoint which is (4,3)
Answer:
137 m²
Formula's:
- area of rectangle: length + width
- area of triangle: 1/2 * base * height
Explanation:
⇒ area of rec + area of rec + area of rec + area of triangle
⇒ 2 * 4 + 7 * 6 + 8 * 9 + 1/2 * 6 * 5
⇒ 8 + 42 + 72 + 15
⇒ 137 m²
A circle with equation:
( x + 3 )² + ( y - 2 )² = 36
Center of a circle: C ( - 3, 2 )
r = 6 ( the radius of a circle stays the same )
After shifting 3 units left : C 1 ( - 6, 2 ).
Answer:
( x + 6 )² + ( y - 2 )² = 36
