what is the smallest surface area of a circular cylinder with a 体積 of 330 cm, give the answer in numbers

解

w ha t i s t h e s ma ll es t s u r f a ce a re a o f a c i rc u l a r cy l in d er w i t h a v o l u m e o f 330 c m, g i v e t h e an s w er in n u mb ers

s u r f a ce a re a : 4 π (\frac{495}{2 π})^{\frac{2}{3}} c m^{2}

十進法表記

230.93694 \dots

解答ステップ

Given:

v o l u m e : 330 c m^{3}

指定された球体の半径

V o l u m e = 330 : r = 3 \frac{495}{2 π}

指定された球体の表面積

r = 3 \frac{495}{2 π} : A = 4 π (\frac{495}{2 π})^{\frac{2}{3}}

s u r f a ce a re a : 4 π (\frac{495}{2 π})^{\frac{2}{3}} c m^{2}