Question

Container A is cylinder with a radius of 10 units and a height of 10 units. A right cone has been carved from its base and has a height of 10 units. Container B has the same radius as container A. Which statement derives the formula to find the volume of container B? π(102)(10) − π (102)(10) 2[π(102)(10) − π(102)(10)] π(102)(10) − π(102)(10) 2[π(102)(10) − π(102)(10)]

Answer 1

Complete Question

The complete question is shown on the first uploaded image

Answer:

The correct option is  C

Step-by-step explanation:

From the question we are told that

       The radius of the cylinder is  $r = 10 \ units$

        The height of the right cone is  $h = 10 \ units$

From the diagram we see that container B is  a semi -sphere and the  volume of a semi-sphere is mathematically represented as

            $V = \frac{2}{3} \pi r^3$

The question tells us that both container has the same radius so

       $V = \frac{2 \pi }{3} 10^3$

   This equivalent to

          $V = \pi (10^2) (10) - \frac{1}{3} (10^2) (10)$

Solving the equation will produce the same formula as

        $V = \frac{2 \pi }{3} 10^3$