Problem 48015. Calculate the volume of the football

Created by Mostafa Nazmi

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<div style = "text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; "><div style="block-size: 63.9631px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.989px 31.9744px; transform-origin: 406.996px 31.9815px; vertical-align: baseline; "><div style="block-size: 20.9091px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.991px 10.4545px; text-align: left; transform-origin: 383.999px 10.4545px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">Calculate the volume of a football given the ball radius r, using the formula below:</span></span></div><div style="block-size: 34.0625px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.991px 17.0312px; text-align: left; transform-origin: 383.999px 17.0312px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="vertical-align:-15px"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALAAAABECAYAAAAhtL9RAAALwklEQVR4Xu2dBawtSRGGvwWCExyCQ7KLW3B3lg0Q3N0luLs7u7i7u0OCE4JLcELw4O7ukm+p2vQdzrkz55yZc2bmdScvb9+90z091f9U//VX9exB1FYtMGELHDThudepVwtQAVxBMGkLVABPevnq5CuAKwYmbYEK4EkvX518BXDFwKQtUAE86eXrNPlTAs8DfgrcA/hLp14TuagCeCILteY0jwHcH3hUgLgCeE1D1m67scDVgVcAJ6gA3s0C1Luub4GzAY8DjgUcVgG8viFrz+1b4HjAE4CPAocAj6wA3v4i1DuuZwHjmhsD5wUeBNx3YgB2/pcC7g5cHvg18ErgyfHfe6xSg7j1QDLmXhcA7gfcJZSHh0wMwFcEbgocEYC9bagnTwUeAfyrNH4F8JihuPrclMyeBjwH+FB0nxKATxwv3tOB38b8/dmLgOPGzvKrCuDVgTGFHkpm94qJPgn45wQBfBLA5/h5YfDjAE+JYPTOwJ8qgKcAx9XneChwK+COwG+K7lPywIue+rTAC0NRyV3lqOsqhVgdKGPsodLwTOA+wJcaE5wygNWvVVN8phc0+a/PuQzARn+3B65bGMNo8A3A+4G3NAY7OnDtIN9XjT7fAyTepjFnlb4cGYJTMvs48BrgPzMAsLThGhG8XTCe57GAfzpTiFMBLweuEAPIr+QiTQOV9jKIeBVwIeA6wHtHtthzm05KZhcNuWzP4k6QAzfXx5fzcpEKP084yTd35cB6VXPoD4gOdwhvuh8IBO5bgVeHBvm3uSFmZM9z0nAYJwR+v2RuZwDOArgjfhP4N/Bp4DHAX0f2PMumI79/Y3Bhazv+nhe2ceCbAS+Li9Xg/LPMA5uy1Ch67OsDX5+IcaY8zQTwlVZ8CGndlAp7Th5O8dvNebcB+OKRjtQ+RoJ3A/68xFgK6L4lgthr96MaK9q7Xr6BBaYcxOVj54uqCmF9x1GtDcBuPa8D5B/vWSQkx0hyFfnxiSL4K2WcDWxfu/ZggTkA+NzAiwFp7GdWAXC5RX1xH2pg2Z4ZICnHh3sweh2iPwtMCcAHh4f9KvAM4BdRCqr68LFwpnt29jYPnFkQJTXbJWKg0ryniZrTTwAPKzJA/S1BHWkTC2wCYOOaywK3BC4MGBDu19yFyyBL/JwzKuIsLrpI7OQC8mRRsOPYyn8PBY4PPBG4ZtRBfCo0YJWHry2ipW0A9veC0j+2G8RbkA/h7+8aevFNgO9uYukZ9F03qGo+ep9B1roANnAyJW1hTdcmBpRRsx0TUCG5FvDc+KGKwjeAZwFXiZ/tt7vve+82ANu5VCLuGVw3B5WbvDYEZid+oAduYwRwV/CV1xnTKKEqvb0JuF6A+Uah7euZHw64/rcDfhSd/1BKXMWAel5zAl8G7gSII9Utcw3Pjh3css9FOvbGALY2M3PQ5RaRsplvqqV7y3TIdQzY7ON2YyB59vjb9KKaZm39W+BokYT6CfARIKvBTFIJYEGdwf0nO8px1idb06sgoBTmTt2LUtXFA58VeD1wrnhTfIN809wKzL/7UHsiw/5teuSIFnWYIPlxvMV7yuoGumcd9n9F5ZYOCLjkt7eOf98mSh33s5M04vEB9A8C3wLu3ZfD6wLgFJFNUFgHIWBt8rTPxeSydG/IBXe7Umd+SRD9PYXNQ974AB67BJ+1LgZTFtjIX6UFlgs0i4ea5jp18OLLAHp146jelKouALaQWInMt00OY5ZNNeKGQfCT/wy9zt5Xvn1l4F1D36yOf6QFzhQKwbELCTXLBZS1xMTvWmxlMsz1EvgWqst1eysx6ALgphLhEQ+3ELeFt21pobMuQ/COOU09lyAulzWpQqoi1k6YgladUN0w69oWuHu959mkncpjH+gTM10A7P1KJcJ/W5vpxNqiRqvrLa+8NPD9eFi3JY+8yGk9/+Tfbi0GijcH5Nw+pNf40DaDOL9vYKW+st35Iwo+B3AL4B0Nowikq0WU6/FytzwDDgMRU94GhGqOGjZrN9Qf1bJty/q32X7bAHYd3NrXaXpCee2ydopYZ+2Y8lhZoWgM9L44QSFN+GEUCpXjJd1QipNH+0L0mqXtCuBSiTBLIo9p4z4+SG4fes13x5ZjtsXTsvLmfDGMdp8fD6mx1AwVtpVybAJWkAoygzfB91ngpVH9pjeQExtBqzmaeDHgcK7SHxWTDD4V1g0G5dN6FOfoIrkdyq/b+q8DlqH6CGDnvU5zJ10GYO2l1GXCwWSCdPE7wXuVw/xMVfJfs7AeBdJ2zVaWInSpZlz5OboCuFQiPO4sl2nbOpyMwJBm2Ecg6Q31fsopgk2Aes5Jb64uKKizgEiPm6BThjk8ACsozdz4UijNZCTss2hojW6/d4ZyIm/WA/tSCPLUJPUeXiOY5XgWKenN2vqvbOQBO5gk2KQt4q9+BOWBwCVj4HK9Mw7xVxbVmOrNww+LYqFcfyXPLgHfys/SFcCpREi+BYxvYJd2xgCZb2jTayctEFTlmOntBbzHw31RUobR4+hZNbzg1yh6celBvu3WuvpCnC64msqJ3j3pjt5ZMAts6YiLYOvav8tzT/UaExhKo9Iym85He/0s/l3uxP5ITVjP6u7abGU9ubtdl4BvZbt1BbBKhEkMszKrnLJIryhgjFrlQr+MWSYtMBMjQFOKS9LvtWb35F3+raBu3vzz8d96aMHvVigIpSWCWpBb8Kxx3x5py9wtsrZDKVCq4u9tzrNL/5UNPLEO2kEv647lESVpRJkwEuB+5Ufb+XsTSlKMRbtxOig9ejOD25tZugJ4kxsayFkI77ZkkOYxJZue07e9PHpUfgNAYP6g4L+C+MEhwaQm7FiCX8PK5/S6GlexfFGzGEXK4LjSjEyGuBV36b+JHWrfASwwFICNxj1DJ09SSUhva9BlwOX2IvAuVgQIeb7r0XE03G3JN9stTP5bAl1uJf/1Z0lnDPAMPuTLZuts8mxpjAqIHl7Vwx1E3p2c2OtSPWjrP8AS1CE3scBQAJZPqh3KMVUrDAL1fIJM7pnZmfSEf4yyPWUtvbWKg4DLLf/MRdIkdWnBKNi9lxGwHl5pSC8vuAWlNRpucQrpvgzSBD1/8ua0ndKe9GO//p4lG3vzmQ1kfbGVLqVRxgDSKmODLoH32J9xz/yGArAe1w9sCEI1XSNVNVZrKjxin/LaV6JwWS1YziQQy7rPBLrn6/IMV4LNoEAvqqjukX8DTYV1g8V/BF+Xt+d4SU/kxyV9SIO09R/7wp4v1CGVHssTpW7W4KrFugv6MvtizyoFPxSA2xZbMPoRjl7z4m03nfHvpUnueAa2Btr5HY58KY0nlB/9zodOYzZtFwDO7IxGVw0wg1Pb+hYwntAhfCF2uyZNyIDXr/c0DySsf9eR9NwFgFetJR2JqUY7DY90mdbV+y6qCizT22bNUjoc7QOtMrFtA1hjG9jJzaxrUG80JSxnrW0YC2QcYUCcKeFh7rSDUbcN4B084gF/y/TO0oxF306btIEqgCe9fK2Td8ezbkXaYCJoGwcPWifV5wUVwH1aczxjmcDxo3gWJqnBW4tgCnh2p8YrgMcDuj5mYiZRZceakawmy3FNapjk+b+PRPdx412NUQG8K8sPe1/X1c98WTrq9+zy439m5cxCeoBgFq0CeBbLuO9DlMXpXpgnKWbx5BXAs1jG1ofIz3/5majBShtbZzHABRXAAxh1hEOWxeXlUa0RTnW1KVUAr2avKV+d30ibVTq5AnjKkOw+9/xAiacjZlXQUwHcHQRTvjI/UOL//Nua6N4+LLJro1QA73oFNr+/x6kMzE4fXzG3gL8svleFsFDfGu3ygObmdx7BCBXAI1iEDafgdzY85SJALVz38wSewPCYu+qDNRCeKvY0jIX/s2oVwNNfTtdQecwDAp50sd7arJunMjxXaB3Etr5ft3VrVgBv3eT1hn1aoAK4T2vWsbZugQrgrZu83rBPC1QA92nNOtbWLVABvHWT1xv2aYEK4D6tWcfaugUqgLdu8nrDPi1QAdynNetYW7fAfwEifqJjO+S6ggAAAABJRU5ErkJggg==" width="88" height="34" style="width: 88px; height: 34px;"></span></div></div></div>

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Last Solution submitted on Feb 23, 2023

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