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Igoryamba
3 years ago
14

A sphere and a right cylinder have the same radius and volume. The cylinder has a height of 8 feet. Find the radius.

Mathematics
1 answer:
siniylev [52]3 years ago
8 0

9514 1404 393

Answer:

  6 feet

Step-by-step explanation:

The volume of a cylinder is given by ...

  V = πr^2·h

For a sphere, the volume is ...

  V = 4/3πr^3

You want the volumes to be the same when h=8, so we have ...

  πr^2·8 = 4/3πr^3

Dividing by πr^2, we have ...

  8 = 4/3r

  r = 3/4·8 = 6

The radius is 6 feet.

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Simplify the following 3√28-5√63+4√112
alexandr402 [8]

7√7

using the ' rule of radicals '

• √a × √b ⇔ √ab

simplifying the radicals

√28 = √(4 × 7 ) = √4 × √7 = 2√7

√63 = √(9 × 7) =√9 × √7 = 3√7

√112 = √(16 × 7 ) = √16 × √7 = 4√7

substituting into the expression

3(2√7) - 5(3√7) + 4(4√7) = 6√7 - 15√7 + 16√7 = 7√7


7 0
3 years ago
Read 2 more answers
Raffle tickets were sold for a school fundraiser to parents, teachers, and students. 563 tickets were sold to teachers. 888 more
Llana [10]

Given :

Raffle tickets were sold for a school fundraiser to parents, teachers, and students. 563 tickets were sold to teachers. 888 more tickets were sold to students than to teachers. 904 tickets were sold to parents.

To Find :

How many tickets were sold to students.

Solution :

Ticket sold to teachers, T = 563 .

Ticket sold to parents, P = 904 .

Let, ticket sold to students are S.

Now, it is given that :

S = T + 904

S = 563 + 904

S = 1467  students

Therefore, tickets sold to students are 1467 .

Hence, this is the required solution.

6 0
3 years ago
What are all the exact solutions of -3tan^2x+1= 0? Give your answer in radians
lord [1]

Answer:

x = π(n - \frac{1}{6})

Step-by-step explanation:

Find attached Solution

6 0
3 years ago
What are the first three terms of the sequence defined by the recursive function an=an-1-(an-2-4), when a5=-2 and a6=0
BaLLatris [955]

Answer:

6, 10, 8

Step-by-step explanation:

aₙ= aₙ₋₁ - (aₙ₋₂ - 4)= aₙ₋₁ - aₙ₋₂ + 4

a₅= -2

a₆= 0

-----------

aₙ₋₂= aₙ₋₁ - aₙ + 4

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  • a₂= a₃ - a₄ + 4 = 8 - 2 + 4 = 10
  • a₁= a₂ - a₃ + 4 = 10 - 8 + 4 = 6

The first 3 terms: 6, 10 and 8

4 0
3 years ago
Melissa said that each member of her group completed 5/12 foot of a tower for a garden display. There were 3 members in her grou
Setler [38]
A) 5/12×3=1 1/4 I know this for sure
4 0
3 years ago
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