find-the-volume-of-a-conical-pile-of-sand-if-r35-mathrmm-and-h15-mathrmm

Name: find the volume of a conical pile of sand if r35 mathrmm and h15 mathrmm
Uploaded: 2020-07-04
Duration: 1 min 12 s
Channel: Numerade
Description: Find the volume of a conical pile of sand if $r=3.5 \mathrm{m}$ and $h=1.5 \mathrm{m}$.

Question

Find the volume of a conical pile of sand if $r=3.5 \mathrm{m}$ and $h=1.5 \mathrm{m}$.

Melissa Stefan · Accepted Answer

find the volume of a cone that has a height of seven meters in a diameter of 15 meters. To find the volume, we can use the volume formula that says the volume of a key cone is equal to 1/3 pie times the radius squared times the hike. We don&#x27;t yet know what the radius is, but we do know the diameters 15 meters and the diameter is equal to twice the radius. So if 15 equals two r, we know that the radius must be 7.5 meters. Our volume is equal to 1/3 pi times the radius of 7.5 squared times the height of seven. Let&#x27;s use a calculator to find the volume and round it to the nearest 10th 1/3 times pi times the radius of 7.5 squared times the height of seven and we have a volume that is approximately 412.3 cubic meters

Raushan Kumar · Answer

we are going to do problem number 23 in discussion. Dissent said that a pile of sand is in the safe off. Right. Circular cone, the radios off base the radius off. This is 2 ft. Okay, On the pile is 6 ft high. Height is also given. This is 6 ft tight on. It is given that this is in the form of corn. Okay, this is enough on your phone. So this will look something like this. So we have Thio, find the volume. Okay, We have to find the volume. So volume off corn is equals to one by 35 are square rich. So let us find this is one by three into pie is 3.2 and four into our Squire. This is to in Toto on. This is as this is 6326 So let us multiply this So we have to multiply. What? We have to multiply 3.14 into 2020. So this is it. That is multiply 3.14 into eight. So this will give us 25.12 Okay. The unit should be in feet 25.1 ft 12 ft cube. So from here we got the volume that is the cost to 25.12 Fate Q. That&#x27;s all, Thank you very much.

Suzana Milea · Answer

this problem, we will need the formula for the volume. Mobile comb vehicle wanted with three pi r squared age Where are is the radius of the base of the coon and age is the heart. So no, the base is a circle of radius are We are also told that sand is pulling onto a conical pile on the rate of 10 faith Cuba minute. That means that the volume of the pile changes with that Great. In other words, DVD T equals Stan fit. Keep for me. We are also given that the diameter is three times the heart. The diameter off a circle is two times the radius. And this information tells us that to our is equal to three age given them the heartiest 15 fit, we want to find the rate of change of image that is D HDTV. Looking at the formula for the volume of a cone, we see that we have the volume. So if we would differentiate this with respect to tea will have DVD t on the left side. And here we have our an age. Um, since we are interested to find the aged 18 we would like to get rid off are in here. And to do that, we would use the equation. Tau are equal three age. So so being for our here we get that artist three over to age and we can take this and plug it in the formula for B. And that would give us the equal one over three pie times. And now our square days, three over to age square times each new trick exists won over three pi times nine over four h squared times h which simplifies to, um, here we can cancel out three and nine. So we get three over four pi h Q. Now we obtain a formula for the volume in terms of the hide differentiating both sides off the aggression be equal. Three over for pie h cubed you obtained DVD T equal and here three rowboat for party. Isa Constance of we multiply that with David Eve of H Q, which is three age squared since ages of function of tea. Applying the Children we want to fly with the aged 80. Now here we can simplify and we get nine pi over four age squared the age. Now if we substitute to the value for DVD T we get 10 here h squared Austin&#x27;s ages 15 We get 15 squared so we can solo for the H d D, which will be 10 divided by ah nine. Pipe over force that will want to apply to be for over 95 times and 15 square. There&#x27;s 225 So divide Dad. Bye Over here. So Well, you&#x27;re staying on. We can simply find for us too. Oh, 10 divided by five is to divide 20 to 25. Why five? So we get 45 and this will give us eight over nine times 45 which it will be four over. And this tells us that DHD key is gonna be eight over 405 pie feet can manage.

Dawn Getman · Answer

I We&#x27;re looking at finding the volume of a comb. They give us the dimensions, but they&#x27;re not quite what we need for our formula. So the formulas volume equals 1/3 pyre squared H, They do tell us H is equal to two. But instead of giving us are they give us de which isn&#x27;t a huge problem, obviously. But you want to make sure that you pay attention to that. So we want to make sure when we substitute into the formula, we&#x27;re not using five were using 2.5 because the radius would be half of that. So now I&#x27;m gonna plug into my formula. Volume equals 1/3 hi times 2.5 squared and then times air height of two. So you can see where that information came in from the question and then now you can calculate I like to get it in terms of pie first. Sometimes they require that in this case, that&#x27;s gonna be our final answer. So I&#x27;m going to actually just take all the things that I underlined and multiplied those in the calculator. When you do that, you&#x27;ll end up with 25 6 If you do it is a fraction when they want it in terms of of pie, they want as precise as possible. That&#x27;s called the exact So you don&#x27;t want to use a decimal form of 25 6 you want to use actually 25 6 as your answer would be 25 6 high meters cube.

Sarah Vo · Answer

Okay, so we&#x27;re going to start saw me for a cone, and we&#x27;re gonna use the Cohn equation for volume, which is V equals pi. Times are swear times h over three. So you want to know our radius and are hype and luckily is given for us. So we&#x27;re Radius is six and her height is 15. After this, you&#x27;re just gonna put it all in. So we have b equals pi times six. Where times 15 over three. No, but that I like to solve for the exponents. So we had a pie times 36 times, 15 over three. And then after that, I like to solve with the top part purse. So we have parted times 36 times 15 and that is equal to 1696 point 46/3. And that will give us our final volume as 500 65 point, but and after that, that&#x27;s your total volume. But make sure you do label and add units in, so our units is cubic meters. So make sure you, at that end, that&#x27;s very important. So this problem was fairly simple and easy. But again, if you have any questions or any concerns piece do you reach out? There&#x27;s no such thing as a dumb question.

Problem

The centripetal acceleration $a$ of an object mov…

Problem 31 Easy Difficulty

Find the volume of a conical pile of sand if $r=3.5 \mathrm{m}$ and $h=1.5 \mathrm{m}$.

Answer

$19 \mathrm{m}^{3}$

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$19 \mathrm{m}^{3}$

Basic Technical Mathematics with Calculus

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