Which expression represents the volume, in cubic units, of the frustum? one-thirdπ(7.52)(11) – one-thirdπ(3.52)(8) one-thirdπ(7.
2 answers:
The expression that represents the volume of the frustum, Volume of larger cone - volume of smaller cone, is: C. ⅓π(7.5²)(19) - ⅓π(3.5²)(8) .
<h3>What is the Volume of a Frustum?</h3>Volume of a frustum = Volume of larger cone - volume of smaller cone = ⅓π(R²)(H) - ⅓π(r²)(h)
Given the cone in the digram below with the following parameters:
R = 7.5 units
H = 8 + 11 = 19 units
r = 3.5 units
h = 8 units
Volume of the frustum = ⅓π(7.5²)(19) - ⅓π(3.5²)(8)
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The table for the complete ratios between distance and time is shown below.
<h3>What is the Ratio of Distance to Time?</h3>The ratio of distance to time, given that 280 miles will be covered in 4 hours is: 280/4 = 70 miles per hour.
Thus, for 2 hours: 2(70) = 140 miles distance.
For 350 miles, we would have: 350/70 = 5 hours time.
For 6 hours: 6(70) = 420 miles distance.
For 8 hours: 8(70) = 560 miles distance.
For 700 miles, we would have: 700/70 = 7 hours time.
The complete table is shown in the image below.
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