# Geometry

A box is filled with 6 cans of tennis balls. If the emply space was filled with sand, how much sand is needed to fill the box?
Each can has a radius of 2 in. Height of box is 12in.

1. 👍 0
2. 👎 0
3. 👁 176
1. Wow, those are some huge tennis balls.

anyway....

making some assumptions:
there are 3 balls in a can
the box is filled with cans in a 3by2 arrangement.

height of can = 12 , (3 times the diameter)
volume of one can = π(2^2)(12) = 48π
so volume of 6 cans = 288π

length of box = 12 , (3 diameters)
width of box = 8 , (2 diameters
height of box = 12

volume of box = 12(8)(12) = 1152

empty space = 1152-288π or appr. 247 cubic inches.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Statistics

A box contains five numbered balls (1,2,2,3 and 4). We will randomly select two balls from the box (without replacement). (a) The outcome of interest is the number on each of the two balls we select. List the complete sample space

2. ### Statistics

Does a football filled with helium travel farther than one filled with ordinary air? To test this, the Columbus Dispatch conducted a study. Two identical footballs, one filled with helium and one filled with ordinary air, were

3. ### Physics

During Service, a tennis ball is struck at height, h = 1.95 m, above a tennis court and moves with velocity Vo= Voxi. Assume the ball encounters no air resistance, and use a Cartesian coordinate system with the origin located at

4. ### Statistics

Tennis Ball Manufacturing: A company manufactures tennis balls. When its tennis balls are dropped onto a concrete surface from a height of 100 inches, the company wants the mean height of a ball’s bounce upward to be 55.5

1. ### math

A toy baseball bat comes with 3 plastic balls in a box that is a rectangular solid. The box is just big enough to hold the 3 balls. The radius of the balls is 1.9 in. What is the volume of the air in the box surrounding the balls?

2. ### Probability again

A box contains 6 red balls, 4 blue balls, and 2 green balls. Three balls are randomly drawn (without replacement) from the box. What is the probability that the three balls selected are all the same color?

3. ### math

Jerry is packing cylindrical cans with diameter 6 in. and height 10 in. tightly into a box that measures 3 ft by 2 ft by 1 ft. All rows must contain the same number of cans. The cans can touch each other. He then fills all the

4. ### Physics

If you simultaneously drop a pair of tennis balls from the top of a building, they strike the ground at the same time. If one of the tennis balls is filled with lead pellets, will it fall faster and hit the ground first? Which of

1. ### math

Malik has 4 times as many tennis balls as Peter. The total number of tennis balls Malik has is 20. If x represents the number of tennis balls Peter has, write an equation to represent the situation.

2. ### Algebra

Elsa has a job transporting soft drinks by truck. Her truck is filled with cans that weigh 14 ounces each and bottles that weigh 70 ounces each. There is a combined total of 820 cans and bottles in her truck. Let x be the number

3. ### Fractions

To make a sports drink for the football team, Jaylen filled 9/10 of a large cooler with water. Then, he filled the remaining space with 6 cups of sports drink concentrate. How many gallons of sports drink did JAylen make? 1 gallon

4. ### Physics

An astronaut in his space suit and with a propulsion unit (empty of its gas propellant) strapped to his back has a mass of 146 kg. The astronaut begins a space walk at rest, with a completely filled propulsion unit. During the
{"ft_lang_label":"__label__en","ft_lang_prob":0.9338498,"math_prob":0.9263995,"size":2965,"snap":"2020-34-2020-40","text_gpt3_token_len":713,"char_repetition_ratio":0.12360689,"word_repetition_ratio":0.007194245,"special_character_ratio":0.23575042,"punctuation_ratio":0.093333334,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.983439,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-08-14T14:54:52Z\",\"WARC-Record-ID\":\"<urn:uuid:0d6ec47c-52d7-4ced-a871-f44547e4aba6>\",\"Content-Length\":\"22963\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:153c4bc8-2dc1-4745-8893-2d6ba955cc0d>\",\"WARC-Concurrent-To\":\"<urn:uuid:8337d20e-0cb7-425e-b652-68d7abba6434>\",\"WARC-IP-Address\":\"66.228.55.50\",\"WARC-Target-URI\":\"https://www.jiskha.com/questions/558024/a-box-is-filled-with-6-cans-of-tennis-balls-if-the-emply-space-was-filled-with-sand-how\",\"WARC-Payload-Digest\":\"sha1:CFULBGVBMG5X5PMC2CMGD43FBCPF7V7Y\",\"WARC-Block-Digest\":\"sha1:HMTCWNHOAA34SBJNY7IIYHPXTYAL5GLB\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-34/CC-MAIN-2020-34_segments_1596439739328.66_warc_CC-MAIN-20200814130401-20200814160401-00165.warc.gz\"}"}