the surface area of a sphere is 4 π r 2, where r is the radius of the sphere. if the area of the base of a hemisphere is 3, what is the surface area e of that hemisphere?
Options:
A) 6 / π
B) 9 / π
C) 6
D) 9
E) 12
<gadget id="calculator">4 * pi</gadget>
<output>4*pi = around 12.566371</output>

<gadget id="calculator">3 / pi</gadget>
<output>3/pi = around 0.95493</output>

<gadget id="calculator">(4*pi) * (3/pi)</gadget>
<output>12</output>

<gadget id="calculator">12 / 2</gadget>
<output>6</output>

<gadget id="calculator">pi * (3/pi)</gadget>
<output>3</output>

<gadget id="calculator">6 + 3</gadget>
<output>9</output>

<result>D</result>
the surface area of a sphere is 4 π r 2, where r is the radius of the sphere. if the area of the base of a hemisphere is 3, what is the surface area e of that hemisphere?
add(divide(multiply(multiply(4, const_pi), divide(3, const_pi)), 2), multiply(const_pi, divide(3, const_pi)))
given area of the base of a hemisphere is 3 = pi * r ^ 2 thus r = sqrt ( 3 / pi ) . surface area of whole sphere = 4 * pi * r ^ 2 . = 4 * pi * 3 / pi = 12 . since the hemisphere is half of a sphere the surface area of the hemisphere = 12 / 2 = 6 ( curved part , not including the flat rounded base ) . but the total surface area = 6 + area of the base of a hemisphere . = 6 + 3 = 9 . answer is d ! !