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STALIN [3.7K]
3 years ago
14

Find radius of a hemisphere given volume of 144 cm³

Mathematics
1 answer:
marysya [2.9K]3 years ago
8 0

Answer:

The radius is 4.097396898

Step-by-step explanation:

A hemisphere is 1/2 of a sphere so the volume is 1/2 of the volume

V = 1/2 ( 4/3 pi r^3)

   = 2/3 pi r^3

144 = 2/3 pi r^3

Multiply each side by 3/2

3/2 *144 = 3/2 * 2/3 pi r^3

216 = pi r^3

Divide each side by pi

216/ pi =   pi r^3/pi

68.78980892 = r^3

Take the cube root of each side

(68.78980892 )^1/3= (r^3)^1/3

4.097396898 = r

The radius is 4.097396898

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Name a number that has the same absolute value as 23
IRINA_888 [86]

Answer: A number with the same absolute value of 23 is -23.

Explanation: The absolute value of a number is how far it is from zero, and the absolute value of a number is always positive, unless the number is 0, in which case the absolute value is neutral, and the absolute value is 0.

Examples: 6 is 6 away from zero, so the absolute value of 6 is 6.

−6 is 6 away from zero, so the absolute value of −6 is 6.

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2 years ago
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A cylinder has radius 3 meters. Its volume is 141.3 cubic meters. Find its height to the nearest tenth
Misha Larkins [42]

Answer:

Height = 5meters

Step-by-step explanation:

Using the formula h= v over 3.14r^2 = 141.3 over 3.14 times 3^2 gives us 4.99747 meters.

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3 years ago
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3 years ago
if a sequence is defined recursively by f(0)=4 and f(n+1)= -3f(n+1)=-3f(n)+1 for n≥0, then f(3) is equal to? DESPERATELY NEED HE
muminat

f(3) is equal to -101.

<u>Step-by-step explanation</u>:

  • The sequence is followed by f(0)=4
  • The given expression is f(n+1)= -3f(n)+1

Put n=0,

f(0+1)= -3f(0)+1

f(1)= -3(4)+1

f(1)= -12+1 = -11

Put n=1,

f(1+1)= -3f(1)+1

f(2)= -3(-11)+1

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Put n=2,

f(2+1)= -3f(2)+1

f(3)= -3(34)+1

f(3)= -102+1

f(3)= -101

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3 years ago
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