Answer:
32 cm³
Step-by-step explanation:
Volume of a sphere is:
Volume of a cylinder is:
The volume of the cylinder is 48 cm³.
The cylinder has the same radius (r) and height (2r) as the sphere.
Therefore, the volume of the sphere is:
Formula for perimeter of a rectangle = 2(L + W)
let the number be x
width = 2x + 8
length = 3(2x + 8)
substitute respectively
96 = 2 (2x + 8 + 3(2x + 8)) open the bracket
96 = 2 ( 2x + 8 + 6x + 24) collect like terms
96 = 2 (8x + 32) open the bracket
96 = 16x + 64
collect like terms
96 - 64 = 16x
32 = 16x
divide both sides by 16
32/16 = 16x/16
2 = x
therefore, the width = 2x + 8 = 2(2) + 8 = 4 + 8 = 12.
and the length = 3(2x + 8) = 6x + 24 = 6(2) + 24 = 12 + 24 = 36.
Answer:
The 5 unknown are 1 quarter, 3 dimes, and 1 penny.
Answer:
y=5
Step-by-step explanation:
Move all terms to the left
53y-55-(42y)=0
Add all the numbers together, and all the variables
11y-55=0
Move all terms containing y to the left, all other terms to the right
11y=55
y=55/11
y=5
Surface area = 2(19 x 15) + 2(15 x 13) + 2(13 x 19)
Surface area = 570 + 390 + 494
Surface area = 1454 cm²
---------------------------------------------
Answer: Surface area = 1454 cm²
---------------------------------------------
