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Free_Kalibri [48]
3 years ago
8

A cylinder has a volume of 75 cubic centimeters. What is the volume of a sphere with the same height and radius?

Mathematics
1 answer:
bagirrra123 [75]3 years ago
8 0
The sphere and the cylinder have the same heightbecause of this the height of the cylinder is equal to the diameter of the spherethe diameter of the sphere is 2*7=14 cm, so the height of the cylinder is also 14 cmthe radius of the cylinder is 7 cmV=∏*r^2*hV=3.14159*7^2*14V=3.14159*49*14V=3.14159*686V=2155.13074 cubic cm, or...V=(22/7)(7^2)(14)       (22/7 is an approximation for pi)V=(22/7)(49)(14)V=(22)(7)(14)V=(22)(98)V=2156 cubic cm
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On Julie's trip to the mountains she traveled 192 miles using 6 gallons of gas. On the return trip she traveled 235 miles on 8 g
Tamiku [17]

Julie travelled with 30.5 miler per gallon.

<u>SOLUTION: </u>

Given, On Julie's trip to the mountains she traveled 192 miles using 6 gallons of gas.  

On the return trip she traveled 235 miles on 8 gallons of gas.  

We have to find how many miles per gallon did Julie get on the way there?

We know that,

\text { number of miles per gallon }=\frac{\text { total distance travelled }}{\text { total number of gallons }}

Substituting the values we get,

=\frac{192+235}{8+6}=\frac{427}{14}=30.5 \text { miles per gallon }

Hence, Julie travelled with 30.5 miler per gallon on the way there on mountains.

5 0
3 years ago
Can somebody help me with my Geometry?​
bezimeni [28]

Answer:

∠KJL = 45°

∠x=45°

∠DBC=67.47°

Step-by-step explanation:

x+x=90

2x=90

x=45°

6 0
3 years ago
Read 2 more answers
If f(1) = 1 and f(n + 1) = 5f(n) + 3 then find the value of f(4).
FrozenT [24]

Answer:

218

Step-by-step explanation:

Because we need f(n) to calculate f(n+1), we have to calculate our values one step at a time. Starting with f(1) = 1,

f(2) = 5(f(1)) + 3 = 5(1) + 3 = 5+3 = 8

f(3) = 5(8) + 3 = 40 + 3 = 43

f(4) = 5(43) + 3 = 215 + 3 = 218

4 0
3 years ago
The radius of the cone is 7 in and y = 25 in. What is the volume of the cone in terms of π? A cone with a right triangle formed
Lady bird [3.3K]

Answer:

142.1π in³

Step-by-step explanation:

Given that:

The radius (r) =  7 in

The slant height (y) = 25 in

Then the height (x) can be determined by using the Pythagoras rule:

y² = x² + r²

25² = x² + 7²

125 = x² + 49

125 - 49 = x²

x² = 76

x = √76

x = 8.7

The formula for the volume of a cone is;

= 1/3 πr²h

where;

height(h) is calculated as "x" from above = 8.7

Then;

= 1/3 × π × (7 in)² × 8.7 in

= 142.1π in³

5 0
3 years ago
Read 2 more answers
IB/AP Mathematice: Logorithms
Anuta_ua [19.1K]
1. 5^2 = 25
2. 2^6 = 64
3. 25^(1/2) =5
8 0
3 years ago
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