Pregunta
1.2.4 The total inner surface of the cylindrical pool will be tiled. An additional
tiles were purchased.
Surface area of an open cylinder
(a) Give reason why additional tiles were purchased.
(b) The tiler states that he requires more than 100 boxes of tiles to complete
the tiling.
Verify, showing ALL calculations, whether his statement is valid.
tiles were purchased.
Surface area of an open cylinder
(a) Give reason why additional tiles were purchased.
(b) The tiler states that he requires more than 100 boxes of tiles to complete
the tiling.
Verify, showing ALL calculations, whether his statement is valid.
Ask by Williams Ball. in South Africa
Mar 27,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
To determine if the tiler needs more than 100 boxes of tiles, we need the radius and depth of the cylindrical pool. With those values, we can calculate the surface area using the formula
Solución
To solve this problem, we will follow these steps:
-
Extract known conditions:
- The formula for the surface area of an open cylinder is given as
, where is the radius and is the depth. - An additional
of tiles were purchased. - We need to verify if the tiler requires more than 100 boxes of tiles.
- The formula for the surface area of an open cylinder is given as
-
(a) Reason for additional tiles:
- Additional tiles are typically purchased to account for mistakes, cuts, or breakage during installation. This ensures that there are enough tiles to complete the project without delays.
-
(b) Verify the tiler’s statement:
- We need to calculate the surface area of the cylindrical pool using the provided formula.
- We will then determine how many boxes of tiles are needed based on the surface area and the number of tiles per box.
Let’s denote:
-
= radius of the cylinder -
= depth of the cylinder -
= number of tiles required -
= number of boxes of tiles
We will need the values for
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg
Explicar 
Simplifique esta solución Extra Insights
When it comes to tiling a large surface area like a cylindrical pool, it’s always wise to purchase extra tiles to account for any mistakes made during installation or unexpected injuries while cutting tiles. This also covers any unforeseen damage that might happen when you handle the tiles, ensuring you have enough to finish the job without running out halfway through.
To verify the tiler’s statement, let’s break it down step by step. First, using the surface area formula for an open cylinder:
Assuming a radius of
So,
Adding the
If one box of tiles covers
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium
