Finding volume of glass by integration Created by : Gaby & Mischa Performance task of mathematics Binus School Bekasi.

1. How to find the
volume of a glass
by using
integration
GABY & MISCHA HS11C

2. Step 1
Insert your object image to Desmos and find the equation
From this, the equation
is found to be y = x - 8
2

3. 2
Step 2
Find the volume of the object bounded by y = x - 8 with boundaries -5 and 5
V = ∫ 𝛑 x dy
b
a
2
V = ∫ 𝛑 (y+8) dy
-5
5
y = x - 8
y + 8 = x
2
2
V = 𝛑 [ y /2 + 8y]
2
-5
5
V = 𝛑 [( 5 /2 + 8(5)) - ( -5 /2 + 8(-5))]
2 2
V = 𝛑 [ 105/2 - (- 55/2 ) ]
V = 80 𝛑 cubic units