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Mathematics

1 answer:

Naddika [18.5K]3 years ago

6 0

Answer:

-67

Step-by-step explanation:

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A cylinder has a surface area of 339 square centimeters and a radius of 6 centimeters. Estimate the volume of the cylinder to th

Andre45 [30]

SA=2hpir+2pir^2=2pir(h+r)
V=hpir^2

SA=339
r=6

339=2pir(h+r)
339=2pi3(h+3)
339=6pi(h+3)
divide both sides by 6pi
56.5/pi=h+3
minus 3 both sides
(56.5/pi)-3=h
(56.5-3pi)/pi=h
v=hpir^2
v=((56.5-3pi)/pi)(pi)(6)^2
v=(56.5-3pi)(36)
v=2034-108pi
use pi=3.141592
v=1694.7079934123023302460345146058
round
1695 cubic cm

5 0

4 years ago

Triangle J K L is shown. Angle J K L is 120 degrees and angle K L J is 40 degrees. The length of K L is 2 and the length of J L

Veseljchak [2.6K]

Answer:

$k \approx 5$ units$

Step-by-step explanation:

In Triangle JKL

$\angle K=120^\circ\\\angle L=40^\circ\\KL=2\\JL=k$

We want to determine the approximate value of k using the law of sines.

$\angle J+\angle K+\angle L=180^\circ $ (Sum of angles in a \triangle)\\\angle J+120^\circ+40^\circ=180^\circ \\\angle J=180^\circ-(120^\circ+40^\circ)=20^\circ$