On a scale drawing of a museum to water fountains are 10 inches apart. the actual distance between them is 400 ft. on the same d
1 answer:
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Answer:
"A is smaller"
Step-by-step explanation:
The full question is attached.
<u>Surface area of cylinder:</u>
The formula is
where r is the radius and h is the height
Here, radius would be 30 since balls have diameter 60 and radius is half of that.
Also height is the diameter of 4 balls line-by-line, so height is 60*4 = 240
Now, plugging into the formula, we get:
<u>Surface Area of rectangular prism:</u>
The surface area of rectangular prism is the area of all the rectangular surfaces (6 of them).
Area of top and bottom = (60+60)*(60+60) * 2 = 120*120 * 2 = 28,800
Area of 2 sides = 2 * (60*120) = 14,400
Area of front and back = 2 * (60*120) = 14,400
Total Surface Area = 28,800 + 14,400 + 14,400 = 57,600
Thus, cylinder has smaller surface area.
"A is smaller"
Answer:
DC = 10.93 cm , AC = 9.8 cm
Step-by-step explanation:
From trigonometry;
⇒ Tan 60 = AB/BD
⇒AB = BD Tan 60 ( where BD = 4 cm )
⇒ AB = 6.93 cm
Also, AB=BC , therefore;
⇒ BC = 6.93 cm
⇒ Cos 60 = BD/AD
⇒ AD = BD/ Cos 60 = 4/Cos 60
⇒ AD = 8 cm
From Pythagoras theorem;
⇒ =
+
=
+
⇒ AC = = 9.80 cm
⇒ DC = BD + BC = 4 + 6.93
⇒ DC = 10.93 cm