Vita has a piece of ribbon that is 5 meters long. She cuts the ribbon into pieces that are each 1/3 meter long. How many pieces
1 answer:
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Answer:
5 seats
Step-by-step explanation:
if I'm getting the right idea, the seats are NOT enough
since the number of arrangement of 10 people in a row is
10! = 3628800 which is a lot larger than 30240.
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Let number of seats be
10PX = 30240
= 30240
(10-X)! =
(10-X)! = 120
(10-X)! = 5!
10-X = 5
X = 5
*The complete question is in the picture attached below.
Answer:
756πcm³
Step-by-step Explanation:
The volume of the solid shape = volume of cone + volume of the hemisphere.
==> 270πcm³ + ½(4/3*π*r³)
To calculate the volume of the hemisphere, we need to get the radius of the hemisphere = the radius of the cone.
Since volume of cone = 270πcm³, we can find r using the formula for the volume of cone.
==> Volume of cone = ⅓πr²h
⅓*π*r²*10 = 270π
⅓*10*r²(π) = 270 (π)
10/3 * r² = 270
r² = 270 * ³/10
r² = 81
r = √81
r = 9 cm
Thus, volume of hemisphere = ½(4/3*π*r³)
==> Volume of hemisphere = ½(⁴/3 * π * 9³)
= ½(972π)
Volume of hemisphere = 486πcm³
Volume of the solid shape
= volume of cone + volume of the hemisphere.
==> 270πcm³ + 486πcm³
= 756πcm³
