A cylinder has a volume of 45pi and a radius, №17886197, 02.07.2021 05:44

Mathematics

A cylinder has a volume of 45pi and a radius of 3. What is it’s height? It’s height is units.

Step-by-step answer

P Answered by PhD

3

It’s height is 5 units.

Step-by-step explanation:

$V=\pi R^2\cdot H\\\\V=45\pi\\R=3\\H=??\\\\45\pi=\pi\cdot3^2\cdot H\\\\45=9H\\\\H=5$

Mathematics

A cylinder has a volume 45pi and radius 3. What is it’s height?

Step-by-step answer

P Answered by Master

8

the answer is 15

Step-by-step explanation:

Given data:

Volume V = 45 π and radius

r = 3 units The formula for the volume of the cylinder is V = B · H

Base of the cylinder is:

B = r² π = 3² π = 9 πFrom the formula V = B · H we get H:H = V / B = 45 π / 9 π = 5 units

H = 5 units

Mathematics

An ice cream shop offers 5 different flavors of ice cream and 9 different toppings. How many choices are possible for a single serving of ice cream with one topping?

Step-by-step answer

P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45

Mathematics

A new school randomly assigns a six-character student code to every prospective student. The school uses the characters 1, 2, 3, 4, 5, X, Y, and Z. If none of the student codes contain a repeated character, what is the total number of codes that can be randomly assigned?

Step-by-step answer

P Answered by PhD

The total nom of code that can be used is equal to 5+3 = 8

Mathematics

An online media service offers video and music downloads. Each download of a song costs $1. Each download of a video costs 5 times as much as the song download. You have a credit of $70. How many songs can you purchase after buying 12 videos?

Step-by-step answer

P Answered by PhD

The answer is in the image

Mathematics

In a parking lot, for every 8 cars there are 7 trucks. What is the ratio of cars to trucks? A)7 : 8 B)8 : 7 C)8 : 15 D)15 : 8

Step-by-step answer

P Answered by PhD

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics

The value of a collectible coin can be represented by the equation y = 2 x + 15, where x represents its age in years and y represents its total value in dollars. What is the value of the coin after 19 years? $2 $23 $38 $53

Step-by-step answer

P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Mathematics

Which number is the smallest? 4.4 ⋅ 10−5, 3.99 ⋅ 10−6, 2.6 ⋅ 102, 1.85 ⋅ 103

Step-by-step answer

P Answered by PhD

The answer is in the image

Mathematics

the surface area of a box is 232 square inches. the box is 4 inches wide and 8 inches long. what is the hight?

Step-by-step answer

P Answered by PhD

The solution is given in the image below

Mathematics

David is building wooden picture frames. Each frame requires 3/4 feet of wood. If David started with 12 feet of wood and now has 6 feet of wood remaining, how many pictures frames has he built?

Step-by-step answer

P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

A cylinder has a volume of 45pi and a radius of 3. What is it’s height? It’s height is units.

Step-by-step answer

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