Trigonometry Answers

PROBLEM 2. A block of wood is in the form of a right circular cone. The altitude is 12 cm and the radius of the base is 5 cm. A cylindrical hole of 5 cm is bored completely through the solid, the axis of the hole coinciding with the axis of the cone. Find the amount of wood left after the hole is bored.
FINAL ANSWER: _______________________________________

PROBLEM 1. The height of the frustum of a cone is 3 m, the diameter of one base is twice that of the other. The slant height of the frustum is inclined to the greater base at an angle of 450. Find the volume of the frustum.
FINAL ANSWER: _______________________________________

Find the volume and lateral surface area of the frustum of a regular square pyramid whose altitude is 38 cm and whose base edges are 10 cm and 20 cm respectively.

FINAL ANSWERS: _____________________ ______________________

A pyramidal monument has an octagonal base, each side of which is 2 m. Each lateral edge of the pyramid is 3m. Find the total cost of painting the lateral surface of the monument at PhP (Philippine Pesos) 730.00 per square meter?
FINAL ANSWER: _______________________________________

A tank in the shape of an inverted pyramid has a square base of 4 m on a side and an altitude of 6 m. How many liters of water will it hold when full?
FINAL ANSWER: _______________________________________

a ship leaves the port at 1am travelling north at the speed of 10 miles per hour At 4pm the ship adjusts its course 30 degrees westward. How far is the ship from the port at 5pm

3cos(x-30)=cos0

A cylindrical container of height equal to twice the diameter of its base can hold 12 liters (1L= 1,000 cm3) of water. Another cylindrical container with the same capacity has its height equal to three times the diameter of its base.

______________________ What is the diameter of the first container in cm?

_______________________ What is the diameter of the second container in cm?

The lateral edge of a square prism is 30 cm long and it is inclined at an angle of 70 degrees with the base. If the volume of the prism is 1,500 cm3,

____________________ 2) What is the base edge in cm?

____________________ 3) What is the lateral area of the prism in cm2?

_____________________ 4) What is the total area of the square prism in cm2?