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k0ka [10]
2 years ago
13

Karina wants to fill the base so that it is 85% full. What is the volume of the base that she is filling? (Find 85% of the volum

e).
Mathematics
1 answer:
Mazyrski [523]2 years ago
3 0

Question:

Karina has recently begun kickboxing and purchased training equipment as modeled in the diagram below. The cylindrical base is 15 inches tall with a diameter of 22 inches.

Karina wants to fill the base so that it is 85% full. What is the volume of the base that she is filling? (Find 85% of the volume).

Answer:

Section = 4847.3205\ in^3

Step-by-step explanation:

Given

h = 15in -- height

d = 22in -- diameter

Required

85% of the volume

First, calculate the radius

r = \frac{1}{2} * d

r = \frac{1}{2} * 22= 11in

The volume (V) is then calculated using:

V = \pi r^2h

V = 3.142* 11^2 * 15

V = 5702.73\ in^3

85% of the volume is:

Section = 85\% * V

Section = 85\% *  5702.73\ in^3

Section = 4847.3205\ in^3

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<h3>What is a system of equations?</h3>

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

David keeps a range of stationery in his study.

Let the pencil is represented by x.

Let the erasers be represented by y.

Let the pens be represented by z.

Let n be the stationery.

5/7 of his stationery consists of pencils.

x = 5/7 n

1/6 of the remaining stationery consists of erasers.

y = 1/6 n

There are 20 pens in his study.

z = 20

The total stationery

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