The height of the pink and blue cylinder is 96 cm and 48 cm, respectively. What is the height (in cm) of the shadow on the wall? 54 cm 36 cm
Answers
Step-by-step explanation:
Search for questions, posts and chapters
9th
>Maths
>Surface Areas and Volumes
>Surface Area of Right Circular Cylinders and Cones
>The volume of a solid cylin...
Maths
Bookmark
The volume of a solid cylinder is 448π cm
3
and height 7 cm. Find its lateral surface area and total surface area.
Easy
share
Share
Answer
Let the radius of the base and height of the cylinder be r cm and h cm respectively. Then, h=7 cm
Now, Volume = 448π cm
3
πr
2
h=448π
r
2
=
7
448
=64
r=8 cm
Therefore,
Lateral surface area =2πrh=2×
7
22
×8×7
Lateral surface area =352 cm
2
Total surface area =2πr(r+h)=2×
7
22
×8(7+8)
Total surface area =
7
5280
Total surface area=754.28 cm
2
Given:
height of the pink and blue cylinder is 96cm and 48cm respectively.
To Find:
the height of the shadow formed on the wall
Solution:
As it is given in the figure,
The shadow of the pink cylinder is falling on the wall as well as on the ground. we are supposed to find the height of the shadow on the wall as a 54 cm shadow is falling on the ground.
Now, the total height of the pink cylinder given is 96cm we will substitute the height falling on the ground.
= 96cm - 54cm
= 42cm
Similarly, the height of the shadow of the blue cylinder = 48cm - 36cm
= 12cm
Therefore, the height of the shadow of the pink and blue cylinder is 42cm and 12cm respectively.