Mathematics: What is the volume of a cone with a diameter of 10 feet and a height of 20 feet? Use 3.14 for π. Round to the nearest cubic feet. * 523.3 cubic feet 523 cubic feet 2093.3 cubic feet 2093 cubic feet

What is the volume of a cone with a diameter, №12766968, 01.05.2021 18:00

Mathematics

Iwill mark as brainliest!im stuck a cylinder shaped drum is used as a garbage container. the drum has a height of 4 ft and a radius of 1.25 ft. how many cubic feet of garbage does the drum hold? use 3.14 to approximate pi. enter your answer as a decimal rounded to the nearest hundredth in the box. a cone has a radius of 2.5 inches and a height of 1.6 inches. what is the volume of the cone to the nearest tenth in³? use 3.14 to approximate pi. 4.0 in³ 10.5 in³ 12.0 in³ 23.1 in³ to apply frosting to a cake, a baker twists a plastic bag containing

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P Answered by Specialist

4

Use these formulas and plug in the numbers.

Vcylinder=πR^2hVcone=1/3πR^2hVsphere=4/3πR^3Vhemisphere=2/3πR^3

To help w/number one: You will use Vcylinder=πR^2h
Radius is 1.25 squared is 1.56
You multiply 1.56xheight (4) = 6.25
6.25 x pi (3.14) = 19.625 (rounded to nearest hundred) = 19.63

Mathematics

Pl hlll #1 a cone-shaped paperweight has a diameter of 3 inches and a height of 5 inches. what is the volume of the paperweight? use 3.14 for pi. #2 a rectangle has an area of 384 m². the length and the width of the rectangle are changed by a scale factor of 0.75. what is the area of the new rectangle? #3 the sector of a circle with a 16-centimeter radius has a central angle measure of 45°. what is the exact area of the sector in terms of π ? #4 a chair is placed near a 26-ft tall tree. a right triangle is formed between the chair, the base of

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P Answered by PhD

38

Question 1

Volume of cone = $\frac{1}{3} \pi r^{2} h= \frac{1}{3} \pi (1.5)^{2} ( 5)=11.775$

Question 2

Scale factor of length = 0.75
Scale factor of area = 0.75² =0.5625
Area of original rectangle = 384
Area of the resized rectangle = 216

Question 3

Radius = 16
Angle = 45°
Area = $\frac{45}{360}$ × $\pi (16)^{2}$ = $32 \pi$

Question 4
Using the trigonometry ratio
$tan(x)= \frac{opposite}{adjacent}$
$tan (56)= \frac{opposite}{26}$
opposite side = 26tan(56)=39

ft to the nearest ten

Question 5
Circle equation is given by $(x-a)^{2}+ (y-b)^{2}= r^{2}$
$x^{2} +10x+ y^{2}+12y+50=0$ , using the completing the square
$(x+5)^{2}-25+ (y+6)^{2}-36+52=0$
$(x+5)^{2}+ (y+6)^{2}=-52+36+25$
$(x+5)^{2}+ (y+6)^{2}=9$

Question 6
First, we need to find the distance between $( x_{0}, y_{0} )$ and the focus.   $( x_{0}, y_{0} )$ is any point on the parabola. We also need to find the distance between   $( x_{0}, y_{0} )$ and the directrix

The distance between   $( x_{0}, y_{0} )$ and (-2,4) is given
$\sqrt{( x_{0}+2) ^{2}+ ( y_{0}-4)^{2} }$

The distance between   $( x_{0}, y_{0} )$ and y=6 is given $| y_{0}-6|$

Equating the two expressions gives
$\sqrt{( x_{0}+2) ^{2}+ ( y_{0}-4)^{2} }$ = $| y_{0}-6|$
Squaring both sides give
$(x_{0}+2) ^{2}+ ( y_{0}-4)^{2}= (y_{0}-6)^{2}$
Expand and simplify
$x_{0} ^{2}+4 x_{0} +4 y_{0}-16=0$
$y_{0}= \frac{x_{0} }{4}- x_{0}+16$

Question 7

Total BTU of 15 people on the bus = 15×750 = 11250 BTU
The volume of the bus = 38×8.5×6.25=2018.75 cubic foot
BTU per cubic foot = 11250 ÷ 2018.75 = 5.57

Question 8

Density = Mass/Volume = 120÷(7³) = 0.35 (two decimal places)

Diagram 1
HIJF is a quadrilateral. Angle IHF and IJF makes right-angle to the radius. It leaves us with angle HJF remain unknown.
Angle HJF = 180°-101° = 79°
Length of arc HJ = $\frac{79}{360}*281=61.7$ (round 1 dp)

Diagram 2
By using the trigonometry ratio
$sin(x)= \frac{opposite}{hypotenuse}$
$sin(x)= \frac{15}{115}$
$sin^{1}( \frac{15}{115})=x$
x=7.5

Diagram 3
Area of triangle = $\frac{1}{2}(8)(13)sin(33)=28.32$

Diagram 4
Let O be the centre of the circle
Angle AOC = 25×2=50°

Mathematics

Pl hlll #1 a cone-shaped paperweight has a diameter of 3 inches and a height of 5 inches. what is the volume of the paperweight? use 3.14 for pi. #2 a rectangle has an area of 384 m². the length and the width of the rectangle are changed by a scale factor of 0.75. what is the area of the new rectangle? #3 the sector of a circle with a 16-centimeter radius has a central angle measure of 45°. what is the exact area of the sector in terms of π ? #4 a chair is placed near a 26-ft tall tree. a right triangle is formed between the chair, the base of

Step-by-step answer

P Answered by PhD

38

Question 1

Volume of cone = $\frac{1}{3} \pi r^{2} h= \frac{1}{3} \pi (1.5)^{2} ( 5)=11.775$

Question 2

Scale factor of length = 0.75
Scale factor of area = 0.75² =0.5625
Area of original rectangle = 384
Area of the resized rectangle = 216

Question 3

Radius = 16
Angle = 45°
Area = $\frac{45}{360}$ × $\pi (16)^{2}$ = $32 \pi$

Question 4
Using the trigonometry ratio
$tan(x)= \frac{opposite}{adjacent}$
$tan (56)= \frac{opposite}{26}$
opposite side = 26tan(56)=39

ft to the nearest ten

Question 5
Circle equation is given by $(x-a)^{2}+ (y-b)^{2}= r^{2}$
$x^{2} +10x+ y^{2}+12y+50=0$ , using the completing the square
$(x+5)^{2}-25+ (y+6)^{2}-36+52=0$
$(x+5)^{2}+ (y+6)^{2}=-52+36+25$
$(x+5)^{2}+ (y+6)^{2}=9$

Question 6
First, we need to find the distance between $( x_{0}, y_{0} )$ and the focus.   $( x_{0}, y_{0} )$ is any point on the parabola. We also need to find the distance between   $( x_{0}, y_{0} )$ and the directrix

The distance between   $( x_{0}, y_{0} )$ and (-2,4) is given
$\sqrt{( x_{0}+2) ^{2}+ ( y_{0}-4)^{2} }$

The distance between   $( x_{0}, y_{0} )$ and y=6 is given $| y_{0}-6|$

Equating the two expressions gives
$\sqrt{( x_{0}+2) ^{2}+ ( y_{0}-4)^{2} }$ = $| y_{0}-6|$
Squaring both sides give
$(x_{0}+2) ^{2}+ ( y_{0}-4)^{2}= (y_{0}-6)^{2}$
Expand and simplify
$x_{0} ^{2}+4 x_{0} +4 y_{0}-16=0$
$y_{0}= \frac{x_{0} }{4}- x_{0}+16$

Question 7

Total BTU of 15 people on the bus = 15×750 = 11250 BTU
The volume of the bus = 38×8.5×6.25=2018.75 cubic foot
BTU per cubic foot = 11250 ÷ 2018.75 = 5.57

Question 8

Density = Mass/Volume = 120÷(7³) = 0.35 (two decimal places)

Diagram 1
HIJF is a quadrilateral. Angle IHF and IJF makes right-angle to the radius. It leaves us with angle HJF remain unknown.
Angle HJF = 180°-101° = 79°
Length of arc HJ = $\frac{79}{360}*281=61.7$ (round 1 dp)

Diagram 2
By using the trigonometry ratio
$sin(x)= \frac{opposite}{hypotenuse}$
$sin(x)= \frac{15}{115}$
$sin^{1}( \frac{15}{115})=x$
x=7.5

Diagram 3
Area of triangle = $\frac{1}{2}(8)(13)sin(33)=28.32$

Diagram 4
Let O be the centre of the circle
Angle AOC = 25×2=50°

Mathematics

Imran is paid ?286 per week Every week he puts 20% of his wage into a savings account How much does he put into his savings each week

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The answer is in the image

Mathematics

You can buy jars of the same jam in 2 sizes large jar:440g for £1.54 small jar:340g for £1.26 By considering the price per gram, work out which jar is the best value for money. Working must be shown

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P Answered by PhD

Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram

Mathematics

The last time Robert filled up his car with gas, he paid $24.50 for 7 gallons. This time, he needs 15 gallons. If the price is the same, how much will he pay?

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Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

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?

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