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3 years ago

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The formula for the volume of a right circular cone is shown. Rewrite the formula so that it expresses the height h in terms of

the volume V and base radius r.

1 answer:

zlopas [31]3 years ago

8 0

Height of cone in term of volume is 3V / πr²

<u>Given that;</u>

Volume of cone = (1/3)(πr²h)

<u>Find:</u>

Height of cone

<u>Computation:</u>

We know that;

Volume of cone = (1/3)(πr²h)

We have to calculate height from above given formula.

V = (1/3)(πr²h)

3V = πr²h

3V / πr² = h

So,

Height of cone = 3V / πr²

<em>Height of cone</em> in term of volume = 3V / πr²

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I need help!! thnaks

liraira [26]

Answer:

7a + 2b

Step-by-step explanation:

Given

4a + 3b + 3a - b ← collect like terms

4a + 3a + 3b - b

= 7a + 2b

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3 years ago

PLEASE HELP ME WITH BOTH OF THESE PROBLEMS THIS IS DUE SOON PLEASE HELP ME

iogann1982 [59]

Answer:

Step-by-step explanation:

4.

a)

P = 2width + 2length

8x = 2x + 2 length; 8x-2x = 2 length; 6x=2 length

length = 3x

b)

sides= 1/4 of 3x = 3x/4

perimeter of square = 4* side = 4*3x/4 = 3x

c)

x= 4

P rectangle =8x= 8*4= 32

P square = 3x = 3*4 = 12

32-12 = 20 cm greater is the P rectangle than P of square

d)

A rectangle = 2x*x = 2*4*4 = 32

A square =(3x/4)² = (3*4/4)² = 9

32-9 = 23 cm² greater is the A rectangle than A of square

5.

4Comic+1 Nonfiction

4comic = 8y so 1 comic = 2y

1 nonfiction = (3+7y)+ 2y

a)

1 nonfiction = 7y+2y+3 = 9y+3

b)

total= 8y+9y+3 = 17y+3

if y=4

total = 17*4 +3 = $71

7 0

3 years ago

Read 2 more answers

A bird is 4 meters from the ground. The bird is 74 cm higher from the ground than a squirrel that is sitting in a tree. How far

Igoryamba

The squirrel is 3.16 meters away from the ground, or 316 centimeters.

4 0

3 years ago

The width of a rectangular prism is six times its length. The height is five times its length. If its length is m units, what is

I am Lyosha [343]

Answer:

$30m^3$ cubic units.

Step-by-step explanation:

Let m represent length of the rectangular prism.

We have been given that the width of a rectangular prism is six times its length, so width of the prism would be $6m$ .

We are also told that the height is five times its length, so height of the prism would be $5m$ .

We know that volume of rectangular prism is height times width times length.

$\text{Volume of rectangular prism}=lwh$

$\text{Volume of rectangular prism}=m\cdot 6m\cdot 5m$

$\text{Volume of rectangular prism}=30m^3$

Therefore, the volume of the given rectangular prism would be $30m^3$ cubic units.

8 0

3 years ago

Write the frost ten terms of a sequence whose first term is -10 and whose common difference is -2

Temka [501]

Answer:

$-10,-12,-14,-16,-18,-20,-22,-24,-26,-28,...$

Step-by-step explanation:

we know that

In an <u><em>Arithmetic Sequence</em></u> the difference between one term and the next is a constant, called the common difference

The formula for an Arithmetic Sequence is equal to

$a_n=a_1+(n-1)d$

where

d is the common difference

n is the number of terms

a_1 is the first term of the sequence

In this problem we have

$a_1=-10\\d=-2$

substitute

$a_n=-10+(n-1)(-2)$

$a_n=-10-2n+2$

$a_n=-2n-8$

so

<u><em>Find the first ten terms</em></u>

$a_1=-10$

For n=2 ----> $a_2=-2(2)-8=-12$

For n=3 ----> $a_3=-2(3)-8=-14$

For n=4 ----> $a_4=-2(4)-8=-16$

For n=5 ----> $a_5=-2(5)-8=-18$

For n=6 ----> $a_6=-2(6)-8=-20$

For n=7 ----> $a_7=-2(7)-8=-22$

For n=8 ----> $a_8=-2(8)-8=-24$

For n=9 ----> $a_9=-2(9)-8=-26$

For n=10 ----> $a_1_0=-2(10)-8=-28$

The sequence is

$-10,-12,-14,-16,-18,-20,-22,-24,-26,-28,...$

5 0

3 years ago