Need help on both these questions please thank you

Mathematics

1 answer:

Elena L [17]3 years ago

8 0

Remember that the volume of a cone is $1/3 \pi r^2h$
Thus;

1. 2^2 = 4
4pi(7) = 28pi
28/3 = $9 \frac{1}{3}$
ANS = $9 \frac{1}{3} \pi$ or ~29.32

2. d = 18, r = 9
9 ^ 2 = 81
81pi (18) = 1458pi
1458 / 3 = 486
ANS = $486 \pi$ or ~1526.81

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LCM and GCF of 150:600 and 900????<br>pleas help I didn't get the ratio part

Anna71 [15]

Answer:

LCM: 1,800

GCF: 150

Step-by-step explanation:

150:600 = 150 / 600 = 0.25 (that's pretty much what a ratio is, just a fraction or part of a whole.)

150 is the greatest common number that will factor into all three, and the least/smallest number they all multiply into is 1,800

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3 years ago

A grain silo is built from two right circular cones and a right circular cylinder with internal measurements represented by the

Murljashka [212]

Answer:

Step-by-step explanation: The volume of the grain silo can be found by adding the volumes of all the solids of which it is composed (a cylinder and two cones). The silo is made up of a cylinder (with height 10 feet and base radius 5 feet) and two cones (each with height 5 ft and base radius 5 ft). The formulas given at the beginning of the SAT Math section:

Volume of a Cone:

$V=\frac{1}{3} \pi r^2h$

Volume of a Cylinder:

$V=\pi r^2h$

can be used to determine the total volume of the silo. Since the two cones have identical dimensions, the total volume, in cubic feet, of the silo is given by

$V_{silo} =\pi (5^2)(10)+(2)(\frac{1}{3})\pi (5^2)(5)=(\frac{4}{3})(250)\pi$