the complete answers in the attached figure
Part 1) we have
Find the height h
Find the volume
Find the lateral area
the answer Part 1) is
a) the volume is equal to
b) The Lateral area is equal to
Part 2) we have
Find the slant height L
Find the lateral area
the answer part 2) is
a) The Lateral area is equal to
Part 3) we have
Step 1
Find the values of R and r
substitute in the formula above
Step 2
Find the slant height L
Step 3
Find the lateral area
the answer Part 3) is
a) The lateral area is equal to
Part 4) we have
Find the slant height L
Find the lateral area
Find the volume
the answer is
a) The lateral area is equal to
b) the volume is equal to
Part 5) we have
Step 1
Find the value of (R-r)
Step 2
Find the value of slant height L
Step 3
Find the lateral area
Step 4
Find the total area
total area=lateral area+area of the top+area of the bottom
Area of the top
Area of the bottom
Total surface area
the answer is
a) The total surface area is
Part 6)
Part a) Find the volume of the water tank
we have
Step 1
Find the volume
the answer Part a) is
Part b) Find the volume of the wetted part of the tank if the depth of the water is 5 ft
by proportion find the radius R of the upper side for h=5 ft
Find the volume for
the answer Part b) is
Part 7) we have
Step 1
Find the value of R and the value of r
Step 2
Find the value of lateral area
Step 3
Find the slant height
Find the altitude of the frustum
the answer Part a) is
the slant height is
the answer Part b) is
the altitude of the frustum is