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Mathematics, 29.01.2020 11:00 jazzy1926

Ijust need somebody to double check my answers to these five questions and if any of them are wrong, me figure them out : ) you in advance!

1. if the volume for 3-d pyramid a is 300 cm3 and the volume for 3-d pyramid b is 900 cm3. how many times bigger is the volume of pyramid b than pyramid a?
a 0.03
b 0.3
c 3
d 30
i chose b

a grain silo is shown below:

2. grain silo formed by cylinder with radius 8 feet and height 172 feet and a half sphere on the top. what is the volume of grain that could completely fill this silo, rounded to the nearest whole number? use 22 over 7 for pi.
a 34,597 ft3
b 11,532 ft3
c 35,669 ft3
d 2,146 ft3
i chose c

3. a snow cone is a tasty treat with flavored ice and a spherical bubble gum ball at the bottom, as shown below:
snow cone with spherical bubble gum ball at the bottom
the radius of the cone is 1.75 inches, and its height is 3.5 inches. if the diameter of the bubble gum ball is 0.5 inches, what is the closest approximation of the volume of the cone that can be filled with flavored ice?
a 11.15 in3
b 11.22 in3
c 0.07 in3
d 33.67 in3
i chose a

4. pyramid a is a square pyramid with a base side length of 12 inches and a height of 8 inches. pyramid b is a square pyramid with a base side length of 48 inches and a height of 32 inches. how many times bigger is the volume of pyramid b than pyramid a?
i put 3.5 but i honestly have no idea if this is right, i feel like it's not.

5.an hourglass consists of two sets of congruent composite figures on either end. each composite figure is made up of a cone and a cylinder, as shown below:
hourglass with sand measuring 54 millimeters high
each cone of the hourglass has a height of 18 millimeters. the total height of the sand within the top portion of the hourglass is 54 millimeters. the radius of both cylinder and cone is 8 millimeters. sand drips from the top of the hourglass to the bottom at a rate of 10Ο€ cubic millimeters per second. how many seconds will it take until all of the sand has dripped to the bottom of the hourglass?
a 68.3
b 38.4
c 268.8
d 230.4
i chose c

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