A trophy awarded to the best
student in the class is in the
form of a solid cylinder
mounted on a solid
hemisphere with the same
radius and is made from
some metal. This trophy is
mounted on a wooden cuboid
as shown in the figure.
The diameter of the hemisphere is 21 cm
and the total height of the trophy is 24.5
cm. Find the weight of the metal used in
making the trophy, if the weight of 1 cm of
the metal is 1.2 g.
Answers
Answer:
8.73 kg of metal (approx.)
Step-by-step explanation:
hope it helps you ....
Answer:
Total weight of trophy = 10.3 Kg
Step-by-step explanation:
Given:
A trophy awarded to the best student in the class is in the form of a solid cylinder mounted on a solid hemisphere with the same radius and is made from some metal.
This trophy is mounted on a wooden cuboids. the diameter of the hemisphere is 21 cm. and the total height of the trophy is 24.5 cm.
To find:
The weight of metal of the used in making the trophy, if the weight of 1cm³ of the metal is 1.2 g.
Explanation:
Volume of hemisphere = × ×
Volume of cylinder = × r²× h
Where R= radius of the hemisphere
Total height of the trophy = Height of cylinder + Radius of the hemisphere
24.5 = Height of cylinder + 11.5
Height of cylinder = 13 cm
Volume of hemisphere = × ×
Volume of hemisphere = × ×
Volume of hemisphere = 3185.31 cm³
Given that radius of the hemisphere = radius of the cylinder
Volume of cylinder = × r²× h
Volume of cylinder = × 11.5²× 13
Volume of cylinder = 5401.18 cm³
Total volume of trophy = 3185.31 + 5401.18 = 8586.49 cm³ The weight of 1cm³ of the metal is 1.2 g.
Total weight of trophy = 8586.49 × 1.2 =10303.79 g