All categories

3 years ago

What is the height of cone S?

Mathematics

2 answers:

ale4655 [162]3 years ago

7 0

(Set up a proportion: 768pi/6144pi = x/24)
(Cross multiply: 6144pi*x = 18432pi)
(Divide both sides by 6144pi: x = 3)
(The height of cone S = 3 cm)

balu736 [363]3 years ago

4 0

Answer:

12 cm

Step-by-step explanation:

First, we find the scale factor from cone S to cone T.

ratio of volumes = (vol of T)/(vol of S) = (6144 pi cm^3)/(768 pi cm^3) = 8

The ratio of the volumes is 8:1

The scale factor, which is the ratio of linear dimensions (height, radius, etc.), is the cubic root of the ratio of the volumes.

scale factor = cubic root of 8 = 2

The height of cube T is 24 cm, so the height of cube S is 24 cm/2 = 12 cm.

You might be interested in

To paint a house, a painting company charges a flat rate of $500 for supplies, plus $50 for each hour of labor.

sattari [20]

Answer:

50x20=1000+500= 1500

50x50=2500+500=3000

Step-by-step explanation:

7 0

1 year ago

What would the inter-rater reliability be for a 50-item measure in which the number of agreements between Rater 1 and Rater 2 wa

nlexa [21]

What would the inter-rater reliability be for a 50-item measure in which the number of agreements between Rater 1 and Rater 2 was 45?
C) 0.90

7 0

2 years ago

A one year membership to the gym costs $362. When signing up, members pay $54 for the first month, then the remaining part is ma

netineya [11]

362-54 divided by 12

308 divided by 12

25.67 a month

8 0

2 years ago

Please help!! MathsWatch, Surd Expressions, Clip 207c

dexar [7]

Answer:

$A=(72+36\sqrt{3})\ mm^2$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

Let

a ----> the height of rectangle in mm

b ---> the base of rectangle in mm

step 1

Find the base of rectangle

$b=AB+BC+CD+DE$ ----> by segment addition postulate

substitute

$b=3+3+3+3=12\ mm$

step 2

Find the height of rectangle

$a=FB+CG+GH$ ---> by segment addition postulate

substitute the given values

$a=3+CG+3\\a=6+CG$

Find the length sides CG

Applying the Pythagorean Theorem

$BG^2=BC^2+CG^2$

substitute the given values

$6^2=3^2+CG^2$

$CG^2=6^2-3^2$

$CG=\sqrt{27}\ mm$

simplify

$CG=3\sqrt{3}\ mm$

therefore

$a=(6+3\sqrt{3})\ mm$

step 3

Find the area of rectangle

$A=ab$

we have

$a=(6+3\sqrt{3})\ mm$

$b=12\ mm$

substitute

$A=(6+3\sqrt{3})(12)=(72+36\sqrt{3})\ mm^2$

8 0

2 years ago

What is the value of the expression below?<br><br> -4(2)

otez555 [7]

The value is -8 of the expression

4 0

2 years ago