Question

7. A cylinder and a cone have equal bases.
The height of the cylinder is 3 cm and the
area of its base is 100 cm². The cone is placed
upon the cylinder. Volume of the solid
figure so formed is 500 cm'. Find the total
height of the figure.
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Answer 1

Answer:

9 cm

Step-by-step explanation:

height of cylinder, h = 3 cm

radius of cylinder = r cm

height of the cone = H cm

area of the base of cylinder = 100 cm

$\pi r ^{2} = 100......(1)$

volume of the solid = 500 cm

$\pi r^{2} h + 1 \div 3\pi r ^{2} h = 500$

$\pi r ^{2} (h + h \div 3) = 500$

$3 + h \div 3 = 500 \div 100$

$h \div 3 = 5 - 3$

$h \div 3 = 2$

$h = 2 \times 3 = 6cm$

total height = 3+6 = 9 cm