Post a New Question

MATH

posted by .

When a concrete structure is built, and engineer often performs a slump test on the concrete to ensure that it is of suitable strength and consistency. The engineer fills a truncated cone with bottom diameter 200mm, top diameter 100mm and height 300mm with concrete. The engineer then places the cone on the grounf and lifts off the cone. After period of time, she measures the amount of that the top of the cone has slumped to decide if concrete is appropriate.

a) Original cone from which the slump test cone was derived had height of 600m. What was volume of original cone? Express answer to nearest cubic mm.

The formula for this is:

V = 1/3 * 3.14 * r2 * h

r2 means r squared, I can't make it small.

I went 100m * 200m and came up with the answer 20000. To get the radius I just divided 20000 by 2 and got 10000.

This is what I did:

1/3 * 3.14 * 10000 * 10000 * 600

I got 62800000000mm

Is that right?

  • MATH -

    just sub into the formula
    V = (1/3)πr^2 h
    = (1/3)π(100^2)(600)
    = (1/3)π(10 000)(600)
    = appr. 6 283 185 mm^3

    (you have to square 100 first, according to the rules of order of operation)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. MATH

    When a concrete structure is built, and engineer often performs a slump test on the concrete to ensure that it is of suitable strength and consistency. The engineer fills a truncated cone with bottom diameter 200mm, top diameter 100mm …
  2. math problem

    When a concrete structure is built, an engineer often performs a slump test on the concrete to ensure that it is of suitable strength and consistency. The engineer fills a truncated cone with a bottom diameter 200mm, top diameter 100mm …
  3. math problem

    When a concrete structure is built, an engineer often performs a slump test on the concrete to ensure that it is of suitable strength and consistency. The engineer fills a truncated cone with a bottom diameter 200mm, top diameter 100mm …
  4. Math

    When a concrete structure is built, an engineer often performs a slump test on the concrete to ensure that it is of suitable strength and consistency. The engineer fills a truncated cone with a bottom diameter 200mm, top diameter 100mm …
  5. english

    Our class had a test in Spanish this afternoon. find the nouns mark concrete or abstract class concrete test concrete spanish concrete afternoon concrete?
  6. Concrete on different temperature?

    if a section of concrete is poured for a road and the engineer leaves no gap between sections poured before and after the section in question , what will happen to concrete if the temperature varies from 0 C to 40 C ?
  7. Maths

    How do you figure out the diameter of the base of a truncated cone with the measurement of the leaning side and the diameter of the top circle face?
  8. math

    A 4inch-thick concrete slab is being poured for a circular patio 14 feet in diameter. Concrete costs $55 per cubic yard. Find the cost of the concrete, to the nearest cent.
  9. math

    in the frustum of a cone,the top diameter is twice the bottom diameter. if the height is h cm, find the height of the cone
  10. math

    In Ali garden, he wants to build a concrete fountain. So he consults two different companies who provides concrete pours: Alibaba's Concrete (charges $700 plus $20/m^3 of concrete) and Baborina's Concrete ($1200 plus $15/m^3 of concrete). …

More Similar Questions

Post a New Question