The radius of the cone is:
The total area of cone is given by:
where r is the radius of the cone and l is the slant height of the cone.
and the lateral area of cone is given by:
Hence, from equation (1) and (2) we have:
i.e.
i.e.
Answer: There are 385 students and teachers who rode to the zoo in buses and 24 students and teachers who rode to the zoo in trains.
Step-by-step explanation:
Since we have given that
Total number of students and teachers = 409
Let the number of vans be x
Let the number of buses be x+5
Number of students and teachers each bus transported = 55
Number of students and teachers each van transported = 12
According to question,
Total number of students and teachers who rode to the zoo in buses will be
Total number of students and teachers who rode to the zoo in vans will be
Hence, there are 385 students and teachers who rode to the zoo in buses and 24 students and teachers who rode to the zoo in trains.