Maths-
General
Easy

Question

A triangle having sides equal to 7cm, 24cm and 25cm forms a cone when revolved about 24cm side. What is the volume of a cone formed?

  1. 1225cm3
  2. 1232cm3
  3. 4000cm3
  4. 3696cm3

hintHint:

Volume of a cone = (1 third)πr2h

The correct answer is: 1232cm3


    We have given the dimensions of triangle having sides equal to 7cm, 24cm and 25cm
    It is revolved about 24 cm side
    Therefore, the cone formed will have dimensions as
    Height , h = 24 cm
    Radius , r = 7 cm
    So, the volume of cone = (1 third)πr2h

    = (1 third)(22 over 7)(7 x 7)(24)

    = 22 x 7 x 8

    = 1232 cm3
    Therefore, the correct option is b) 1232 cm3

    Related Questions to study

    General
    Maths-

    What is the factored form of 4 x cubed plus 24 x squared plus 36 x space ?

    What is the factored form of 4 x cubed plus 24 x squared plus 36 x space ?

    Maths-General
    General
    Maths-

    If the area of 1 face is 81 how much is the surface area of the whole cube?

    If the area of 1 face is 81 how much is the surface area of the whole cube?

    Maths-General
    General
    Maths-

    calculate the surface area of a cube with a side of 4 mm

    calculate the surface area of a cube with a side of 4 mm

    Maths-General
    parallel
    General
    Maths-

    Ratio of volume of a cone to the volume of a cylinder for same base radius and
    same height is __________

    Ratio of volume of a cone to the volume of a cylinder for same base radius and
    same height is __________

    Maths-General
    General
    Maths-

    Find the Total surface area if the given dimensions are 6 cm,4cm, and 5 cm.

    Find the Total surface area if the given dimensions are 6 cm,4cm, and 5 cm.

    Maths-General
    General
    Maths-

    Factor the given expression.
    9 x squared minus 100

    Factor the given expression.
    9 x squared minus 100

    Maths-General
    parallel
    General
    Maths-

    Factor the polynomial as the product of binomials.
    x squared plus x plus 1 fourth

    Factor the polynomial as the product of binomials.
    x squared plus x plus 1 fourth

    Maths-General
    General
    Maths-

    Factor the given expression.
    x squared minus 64

    Factor the given expression.
    x squared minus 64

    Maths-General
    General
    Maths-

    A cone has slanted height of 5cm and height of 4cm, its volume (in cm3 ) is
    __________

    A cone has slanted height of 5cm and height of 4cm, its volume (in cm3 ) is
    __________

    Maths-General
    parallel
    General
    Maths-

    Factor the polynomial as the product of binomials.
    p squared minus 49 over 100

    Factor the polynomial as the product of binomials.
    p squared minus 49 over 100

    Maths-General
    General
    Maths-

    What is the volume of a cone having radius of 21cm and height of 5cm?

    What is the volume of a cone having radius of 21cm and height of 5cm?

    Maths-General
    General
    Maths-

    What is the radius of a cylinder that has a height of 3 in. and a volume of pi open parentheses 27 x squared plus 18 x plus 3 close parentheses i ?

    What is the radius of a cylinder that has a height of 3 in. and a volume of pi open parentheses 27 x squared plus 18 x plus 3 close parentheses i ?

    Maths-General
    parallel
    General
    Maths-

    How can you determine if a binomial of the form x squared minus a over b is factorable using rational constants?

    How can you determine if a binomial of the form x squared minus a over b is factorable using rational constants?

    Maths-General
    General
    Maths-

    Volume of a right circular cone of radius r and height h is given by __________

    Volume of a right circular cone of radius r and height h is given by __________

    Maths-General
    General
    Maths-

    On Saturday , the vacation resort offers a discount on water sports. To take a surfing lesson and go parasailing costs $130. That day 25 people take surfing lessons and 30 people go parasailing. A Total of $ 3650 collected. What is the discounted price of each activity?

    On Saturday , the vacation resort offers a discount on water sports. To take a surfing lesson and go parasailing costs $130. That day 25 people take surfing lessons and 30 people go parasailing. A Total of $ 3650 collected. What is the discounted price of each activity?

    Maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.