All categories

2 years ago

A cone has a volume of 565.2 cubic millimeters and a radius of 6 millimeters. What is its

Mathematics

1 answer:

inessss [21]2 years ago

8 0

Answer:

h = 15 mm

Step-by-step explanation:

Given that,

The volume of a cone, V = 565.2 cubic millimeters

The radius of the cone, r = 6 mm

We need to find its height. The formula for the volume of the cone is given by :

$V=\dfrac{1}{3}\pi r^2 h$

Where

h is the height of the cone

$h=\dfrac{3V}{\pi r^2}\\\\h=\dfrac{3\times 565.2 }{3.14 \times 6^2}\\\\h=15\ mm$

So, the height of the cone is equal to 15 mm.

You might be interested in

A thumbtack that is tossed can land point up or point down. The probability of a tack landing point up is 0.2. A simulation was

sweet-ann [11.9K]

Answer:

Option C: 0.28

Step-by-step explanation:

This is a binomial probability distribution problem.

Now, we want to find the probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed. This is written as;

P(X ≥ 2) = P(2) + P(3) + P(4) + P(5)

From the histogram;

P(5) = 0.02

P(4) = 0.02

P(3) = 0.05

P(2) = 0.19

Thus;

P(X ≥ 2) = 0.19 + 0.05 + 0.02 + 0.02

P(X ≥ 2) = 0.28

8 0

3 years ago

Read 2 more answers

Question:

mash [69]

Answer:

Question 1: 40 shirts and 40 magizines

Question 2: $4.4

Question 3: 6 gallons

7 0

3 years ago

Read 2 more answers

Rob draws 16 cards from a standard deck of 52. The deck is made up of equal numbers of four suits- clubs, diamonds, hearts, and

alexira [117]

Sixteen plus fifty two equals 68

8 0

2 years ago

Use the functions to answer the question.

Ksivusya [100]

Composition function rule (f○g)(x) = f(g(x))
Given the separate functions: $f(x)=2x+1$ and $g(x)=x^2$

$(f\circ g)(-5)\rightarrow\text{ Composition Function Rule}\rightarrow f(g(-5))=2((5)^2)+1$
$\rightarrow2(25)+1=50+1=51$

4 0

3 years ago

Which angles equal 91°? angles T and V angles S and U angles U and V angles S and T.

Ahat [919]

Answer:

Angles T and V

Step-by-step explanation:

5 0

2 years ago