Michaelab
02.12.2021 •
Mathematics
6. A box in the shape of a cube has an interior side length
of 18 inches and is used to ship a right circular
cylinder with a radius of 6 inches and a height of
12 inches. The interior of the box not occupied by the
cylinder is filled with packing material. Which of the
following numerical expressions gives the number of
cubic inches of the box filled with packing material?
F. 6(18)2 – 21(6)(12) – 29(
62
G. 6(18)2 – 27(6)(12)
H. 183 - T(6)(12)
J. 183 - T(6)(12)
K. 183 - T(12)
ob ..
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Ответ:
think it is 183 - π(6)2(12) or J because it is the closes
Volume of packing materials = Volume of box - volume of cylinder
Since the box has same shape as a cube, the volume = L3
Where L is the lenght of the box
Volume of a right circular cylinder = πr2h
where r is the radius and h is the height
Volume of packing materials = L3 - πr2h
hope this will or can (even maybe) helps
Ответ:
Linear function that models the volume of hydrogen in the balloon after t seconds is V(t) = 5 + 0.1t
Step-by-step explanation:
Initial volume of hydrogen in the balloon = 5 ft³
Rate at which hydrogen is filling in the balloon = 0.1 ft³/s
Volume after 1 second = 5 + 0.1 x 1
Volume after 2 seconds = 5 + 0.1 x 2
Volume after 3 seconds = 5 + 0.1 x 3
Volume after 4 seconds = 5 + 0.1 x 4
Volume after 5 seconds = 5 + 0.1 x 5
Similarly
Volume after t seconds, V(t) = 5 + 0.1 x t = 5 + 0.1t
Linear function that models the volume of hydrogen in the balloon after t seconds is V(t) = 5 + 0.1t