Find the total mass for the following problems. 1. A cylindrical rod has a radius of 0.05m and a length of 0.75m. The rod's density varies linearly as a function of length. You know when x = 0 the density is 1520kg/m³ and when x = 0.75 the density is 1780kg/m³. What is the total mass? 2. A pyramid has a base made of a square with sides 2m long and has a height of 4m. If the density of the pyramid decreases as the height increases, given by the function p 1550(5-y), what is the total mass of the pyramid? =

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Find the total mass for the following problems.
1. A cylindrical rod has a radius of 0.05m and a length of 0.75m. The rod's
density varies linearly as a function of length. You know when x = 0 the density
is 1520kg/m³ and when x = 0.75 the density is 1780kg/m³. What is the total
mass?
2. A pyramid has a base made of a square with sides 2m long and has a
height of 4m. If the density of the pyramid decreases as the height increases,
given by the function p = 1550(5-y), what is the total mass of the pyramid?
Transcribed Image Text:Find the total mass for the following problems. 1. A cylindrical rod has a radius of 0.05m and a length of 0.75m. The rod's density varies linearly as a function of length. You know when x = 0 the density is 1520kg/m³ and when x = 0.75 the density is 1780kg/m³. What is the total mass? 2. A pyramid has a base made of a square with sides 2m long and has a height of 4m. If the density of the pyramid decreases as the height increases, given by the function p = 1550(5-y), what is the total mass of the pyramid?
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