The triangle formed from the height of the cone and the radius of its base is a special 3,4,5 triangle. The slant height is 5cm.
Recall that the area of a circle = pi*r^2
Substitute 3 in for r
Area = pi * (3)^2 = 9pi
SA = pi*r*l + B
Substitute our values into the equation
SA = pi * 3 * 5 + 9pi
SA = 15pi + 9pi
SA = 24pi cm^2
Answer:
<h2>
9 weeks</h2>
Step-by-step explanation:
Sol had $1535 in his savings
has been spending $30 each week for guitar lessons.
If his current balance is $1265
find:
how many weeks has he been taking lessons?
$1535 - $1265 = $270
<u> $270 </u> = 9 weeks
$ 30 per week
<h3>
Answer:</h3>
6 hours
<h3>
Step-by-step explanation:</h3>
The two hoses together take 1/3 the time (4/12 = 1/3), so the two hoses together are equivalent to 3 of the first hose.
That is, the second hose is equivalent to 2 of the first hose. Two of the first hose could fill the vat in half the time one of them can, so 6 hours.
The second hose alone can fill the vat in 6 hours.
_____
The first hose's rate of doing work is ...
... (1 vat)/(12 hours) = (1/12) vat/hour
If h is the second hose's rate of doing work, then working together their rate is ...
... (1/12 vat/hour) + h = (1/4 vat/hour)
... h = (1/4 - 1/12) vat/hour = (3/12 -1/12) vat/hour = 2/12 vat/hour
... h = 1/6 vat/hour
so will take 6 hours to fill 1 vat.
