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balu736 [363]
3 years ago
10

A sphere of diameter 10 inches is cut by a plane which passes through its center. Find the area of the cross-section, leaving th

e answer in terms of π. A) 10π in2 B) 25π in2 C) 50π in2 D) 96π in2
Mathematics
1 answer:
Natali [406]3 years ago
7 0
When a sphere is cut by a plane which passes through the center, it will create a circle that has the same diameter of the sphere.

To represent this area, you will use the formula for finding area of a circle.

A= pi x r^2
Pi x 5^2
A = 25 x pi or choice B
You might be interested in
Amit makes a cuboid having sides 3cm, 2cm & 3cm. How many such cuboids will be required to form a cube.​
Tatiana [17]

Start with a volume of a cuboid,

V=abc=3\cdot2\cdot3=18\mathrm{cm^3}

The side of the cube we need equals to the LCM of the cubiod's sides,

\mathrm{LCM}(a,b,c)=\mathrm{LCM}(3,2,3)=6

Now compute the volume of such cube,

V=\mathrm{LCM}(a,b,c)^3=6^3=216\mathrm{cm^3}

Divide the volumes to get how many cubiods are in such cube,

\dfrac{V_{\mathrm{cube}}}{V_{\mathrm{cubiod}}}=\dfrac{216}{18}=\boxed{12}

Hope this helps :)

5 0
3 years ago
Read 2 more answers
Bill wants to rent a car. Rental Company A charges $35 per day plus $0.10 per mile driven. Rental Company B charges $25 per day
m_a_m_a [10]
M represents miles
35+0.10m=25+0.15m
35-25+0.10m=25-25+0.15m
10+0.10m=0.15m
10+0.10m-0.10m=0.15m-0.10m
10=0.05m
m=200
Check:
35+0.10(200)=25+0.15(200)
35+20=25+30
55=55
The solution: m=200 is true.
After 200 miles driven, prices charged by both companies will be the same.
7 0
4 years ago
Please help with this!!! 8 points!!!
Leviafan [203]

Answer:

d

Step-by-step explanation:

6 0
3 years ago
There are 20 beads in a bag, of which 8 beads are white, 2 beads are yellow, 6 beads are green, and the rest are blue. Janina wi
USPshnik [31]

Answer:

8/20 in simplest form this would be 2/5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What times what times what equal 216
Leno4ka [110]
8 times 27 equals 216
5 0
4 years ago
Read 2 more answers
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