MATHEMATICS HIGH SCHOOL

If the height of a right circular cone of volume 96 pie cm sq is 18cm, then what is the radius of the base of the right circular cone?OPTIONS-
A) 4cm
B) 6cm
C) 8cm
D) 9cm

Answers

Answer 1
Answer:

The radius of the base of this right circular cone is equal to: A) 4cm

Given the following data:

  • Volume of right circular cone = 96\pi \;cm^2
  • Height of right circular cone = 18 cm

To determine the radius of the base of the right circular cone:

Mathematically, the volume of a right circular cone is given this formula:

V = \pi r^2(h)/(3)

Where:

  • V is the volume of a cone.
  • r is the radius of a cone.
  • h is the height of a cone.

Making r the subject of formula, we have:

r = \sqrt{(3V)/(\pi h) }

Substituting the given parameters into the formula, we have;

r = \sqrt{(3 * 96\pi)/(\pi * 18) }\n\nr = \sqrt{(3 * 96)/( 18) }\n\nr=√(16)

Radius, r = 4 centimeters

Read more on volume of a cone here: brainly.com/question/13677400
Answer 2
Answer: Via equation:
96pi=1/3 pi * r^2 * 18
16/3 pi=1/3 pi r^2
16 pi = pi r^2
16 = r^2
r = 4

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Answers

Answer:

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Step-by-step explanation:

That the answer
The answer to this question is 56

A scientist needs 10 litera of a 20% acid solution for an experiment but she has only 5% solution and a 40% solution. To the nearest tenth of a liter, how many liters of the 5% and the 40% solutions should she mix to get the solution she needs?

Answers

x = liters of 5% solution

y = liters of 40% solution

The scientist wants 10 L total of a 20% solution, so

x + y = 10

0.05 x + 0.40 y = 0.20 (x + y) = 2

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y = 10 - x

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Simplify
21-(x+7)
how do i solve it.

Answers

21 - (x + 7) We would multiple the numbers inside the parenthesis with -

21 - x - 7 Then we simplify

14 - x

Or if it’s equal to 0 and you need to isolate the x then it’s

x = -14

Award me brainliest please if this helped

If a car cost 35,000 and it depreciates 10% a year. what would the exponential decay equation be?

Answers

.10*35000* # of years

How to solve this???

Answers

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A small auditorium has 10 rows of seats. There are 12 seats in the row and 16 seats in the second row the number of seats in a row continues to increase by 4 with each additional row. What is the total number of seats in the auditorium?

Answers

This problem can be solved through simple arithmetic progression

Let

a1 = the first term of the sequence

a(n) = the nth term of the sequence

n = number of terms

d = common difference

Sn = sum of all terms

 

given

a1 = 12

a2 = 16

n = 10

 

d = 16 -12 = 4

@n = 10

a(n) = a1 + (n-1)d

a(10) = 12 + (9)4

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