The volume of a cylinder is the area of the base, times the height.
<span>The area of the circular base is, of course, π times the square of its radius. </span>
<span>So the volume of a cylinder, V, is </span>
<span>V = π h r^2 </span>
<span>where h is the height and r is the radius. </span>
<span>If we multiply the height by 3, the new height is 3h. </span>
<span>If we multiply the width by 3, that multiplies the radius (which is half the width) by 3 also. </span>
<span>So the new volume would be </span>
<span>π (3h) (3r)^2 = π (3h) (9r^2) = 27π h r^2 </span>
<span>which is 27 times π h r^2, the volume of the smaller pool. But we know that volume is 37 cubic feet. </span>
<span>So the volume of the larger pool is </span>
<span>27 * 37 cubic feet = 999 cubic feet [answer B] </span>
<span>This is an instance of a general rule: </span>
<span>If we multiply ALL the linear dimensions of an object by a factor F, </span>
<span>while keeping the shape the same (often termed "similar" in geometry), </span>
<span>that multiplies the volume by F^3 (the cube of F). </span>
<span>It also multiplies the surface area by F^2. </span>
<span>These rules are very useful, especially when you hit these questions on an exam under time constraints. If you know them, you'll save time you can use to work other questions.</span>
Answer:
he uses 30 pages
Step-by-step explanation:
turn 10% into a decimal. this would be .10
.10 • 300=30
30 pages
Answer:
#3) 72; #4) 40,320; #5) 90.
Step-by-step explanation:
#3) The number of possible choices are found by multiplying the choices of flavors and the choices of toppings:
6*12=72.
#4) The ordering of 8 cards is a permutation, given by 8!=40,320.
#5) This is a permutation of 10 objects taken 2 at a time:
P(10,2) = 10!/(10-2)!=10!/8!=90.
P.S I had the same question once.
Let x person in 1 van and y persons in 1 bus
so for school A took 2x+2y=106
for school B took 8x+y=151
make a system
solve it:
multiply second equation by 2
<span> 2*8x+2*y=2*151</span>
16x+2y=302
second equation minus first we have:
16x+2y-2x-2y=302-106
14x=196
x=14 - persons in 1 van
to find y put x=14 in equation:
2x+2y=106
2*14+2y=106
2y=106-28
2y=78
y=39
Answer: 1 van can carry 14persons, 1 bus can carry 39 persons
