Answer:
78% (to the nearest tenth)
Step-by-step explanation:
Volume of a cube = (length )³
Let the length of the cube = y
Original volume = y³
if the length is decreased by 40%, then new length = 1- (40% of y)
= 1-0.4y
= 0.6%
New volume (after decreasing the length) = (0.6y)³
= 0.216y³
% Volume decrease = (Original volume - New volume)/Original Volume x 100%
= (y³ - 0.216y³)/ y³ x 100%
= 0.784y³/y³ x 100%
=78.4%
≈78%
Answer:
x=-4
Step-by-step explanation:
2(|x+4|+3)=6
take out absolute value
2(x+4+3)=6
remove parrenthesis
2x+8+6=6
Simplify
2x+14=6
-14 -14
2x=-8
x=-4
Hope this helps!!!!!
The answer is 1,695.6 in³.
The volume of the empty space is the difference of the bigger cylinder and the smaller cylinder: V = V1 - V2
The volume of the bigger cylinder is:
V1 = π r² h
r = 10 in
h = 15 in
π = 3.14
V1 = 3.14 * 10² * 15 = 4,710 in³
The volume of the smaller cylinder is:
V2 = π r² h
r = 8 in
h = 15 in
π = 3.14
V2 = 3.14 * 8² * 15 = 3,014.4 in³
The volume of the empty space is:
V = V1 - V2 = 4,710 in³ - 3,014.4 in³ = 1,695.6 in³
The answer to the question is 8
Step-by-step explanation:
Longest side of cuboid: 7cm
Height of cylinder:
2 × 7 = 14 cm
Volume of cuboid:
7x3x4=84
Volume of cylinder:
Surface area of the cylinder:
=128 cm^2
