Answer:
The radius of sphere with volume 4500 cubic inches is 10.24 inches.
Step-by-step explanation:
Let V be the volume of the sphere
Given
Volume of sphere = V = 4500 cubic inches
Let r be the radius of the sphere
The volume of the sphere is given by the formula
Putting the known values
Taking cube root on both sides
![\sqrt[3]{r^3} = \sqrt[3]{1073.8636} \\r = 10.2403](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Br%5E3%7D%20%3D%20%5Csqrt%5B3%5D%7B1073.8636%7D%20%5C%5Cr%20%3D%2010.2403)
Rounding off to nearest hundredth
The radius is: 10.24 inches.
Hence,
The radius of sphere with volume 4500 cubic inches is 10.24 inches.
Work out the Greatest Common Factor for both numbers
54 42
1×54 1×42
2×27 2×21
3×18 3×14
6×9 6×7
The common factors are: 1, 2, 3 and 6
The greatest common factor is 6
There are 6 identical arrangements that can be made
Answer:
125a^3 + 300a^2b + 240ab^2 + 64b^3
Step-by-step explanation:
The volume of a cube is the cube of the side length.
V = s^3
Here, the side length of the cube is 5a + 4b, so we cube 5a + 4b.
V = (5a + 4b)^3
V = (5a + 4b)(5a + 4b)(5a + 4b)
V = (25a^2 + 20ab + 20ab + 16b^2)(5a + 4b)
V = (25a^2 + 40ab + 16b^2)(5a + 4b)
V = 125a^3 + 100a^2b + 200a^2b + 160ab^2 + 80ab^2 + 64b^3
V = 125a^3 + 300a^2b + 240ab^2 + 64b^3
$332.64
20% of 415.80 is 83.16
415.8-83.16=$332.64
Answer:
142 cm^2
Step-by-step explanation:
Okay, we can first break this down into 3 different rectangles.
3 x 5 rectangle
16 x 7 rectangle
3 x 5 rectangle.
From here, we just multiply these out and add them. 15 + 15 + 112 = 142. So our answer is 142 cm^2
