Mathematics, 24.06.2019 10:00 tinklover1413
Find the surface area of a sphere that has a volume of 288 cu. in.
Answers: 1
![\dfrac{4}{3}\pi R^3=288\qquad\text{multiply both sides by 3}\\\\4\pi R^3=864\qquad\text{divide both sides by}\ 4\pi\\\\R^3=\dfrac{216}{\pi}\to R=\sqrt[3]{\dfrac{216}{\pi}}\\\\R=\dfrac{\sqrt[3]{216}}{\sqrt[3]{\pi}}\\\\R=\dfrac{6}{\sqrt[3]{\pi}}\ in](/tpl/images/0011/4049/04b35.png)
![S.A.=4\pi\left(\dfrac{6}{\sqrt[3]{\pi}}\right)^2=4\pi\cdot\dfrac{6^2}{\sqrt[3]{\pi^2}}=\dfrac{4\pi\cdot36}{\sqrt[3]{\pi^2}}=\dfrac{144\pi}{\sqrt[3]{\pi^2}}\\\\S.A.=\dfrac{144\pi}{\sqrt[3]{\pi^2}}\cdot\dfrac{\sqrt[3]{\pi}}{\sqrt[3]{\pi}}=\dfrac{144\pi\sqrt[3]{\pi}}{\sqrt[3]{\pi^3}}=\dfrac{144\pi\sqrt[3]{\pi}}{\pi}=\boxed{144\sqrt[3]{\pi}\ in^2}](/tpl/images/0011/4049/15e38.png)
Another question on Mathematics
Mathematics, 21.06.2019 22:10
Given: ae ≅ ce ; de ≅ be prove: abcd is a parallelogram. we have that ab || dc. by a similar argument used to prove that △aeb ≅ △ced, we can show that △ ≅ △ceb by. so, ∠cad ≅ ∠ by cpctc. therefore, ad || bc by the converse of the theorem. since both pair of opposite sides are parallel, quadrilateral abcd is a parallelogram.
Answers: 1
Mathematics, 21.06.2019 22:30
Which statement shows that 6.24 is a rational number? a. 6.24 = 6.242424 b. 6.24 = 6.24 c. 6.24 = 68⁄33 d. 6.24 = 66⁄25
Answers: 1
Mathematics, 21.06.2019 23:00
I'm at a bookstore with $\$35$ in my pocket and a $20\%$-off coupon. what is the cost of the most expensive book i can buy with my money and the coupon? (assume that there are books of every possible price in the bookstore. it's a large bookstore! )
Answers: 1
Mathematics, 21.06.2019 23:30
Without multiplying, tell which product is larger and why. 5 × 1/3 or 5 × 2/3 a)5 × 1/3 because 1/3 is less than 2/3 b) 5 × 1/3 because 1/3 is greater than 2/3 c) 5 × 2/3 because 1/3 is less than 23 d) 5 × 23 because 1/3 is greater than 2/3
Answers: 1
You know the right answer?
Find the surface area of a sphere that has a volume of 288 cu. in....
Questions
Mathematics, 04.06.2021 07:40
Mathematics, 04.06.2021 07:40
History, 04.06.2021 07:40
Mathematics, 04.06.2021 07:40
English, 04.06.2021 07:40
Mathematics, 04.06.2021 07:50
Mathematics, 04.06.2021 07:50
Mathematics, 04.06.2021 07:50
Arts, 04.06.2021 07:50
Mathematics, 04.06.2021 07:50
Mathematics, 04.06.2021 07:50
