Maths-
General
Easy

Question

Vtotal = Vcone 1+Vcone 2 Find the volume of the composite solid.
Use 3.14 for pi.

  1. 891.76 cm3
  2. 420.76 cm3
  3. 626.76 cm3
  4. 765.67 cm3

hintHint:

Volume of a cone = (1 third)πr2h

The correct answer is: 891.76 cm3


    We have given the dimensions of a Cones in the given figure
    For Cone 1
    Radius, r = 6 cm
    Height, h = 7 cm
    For Cone 2
    Radius, R = 10 cm
    Height, H = 6 cm
    We have to find the volume of the given cone
    We know that
    Volume of a Cone 1 = (1 third)πr2h

    = (1 third)(3.14)(6 x 6)(7)

    = (1 third)(3.14) (36 x 7)

    = (1 third)(3.14)(252)

    = 791.28 / 3

    = 263.76 cm3

    Volume of a Cone 1 = (1 third)πR2H

    = (1 third)(3.14)(10 x 10)(6)

    = (1 third)(3.14) (100 x 6)

    = (1 third)(3.14)(600)

    = 1884 over 3

    = 628 cm3
    We know that Vtotal=Vcone 1+Vcone 2
    Vtotal = 263.76 + 628 = 891.76 cm3
    Therefore, the total volume of the composite solid is 891.76 cm3
    Therefore correct option is a)891.76 cm3 .

    Related Questions to study

    General
    Maths-

    Given edges of the cubes as 3 cm, 4 cm, and 5 cm respectively. Its now melted and made into one single cube. Calculate the edge of a new cube.

    Given edges of the cubes as 3 cm, 4 cm, and 5 cm respectively. Its now melted and made into one single cube. Calculate the edge of a new cube.

    Maths-General
    General
    Maths-

    Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?

    Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?

    Maths-General
    General
    Maths-

    The dimensions of a cubical box are in the ratio of 5:4:3.and the length of the diagonal is 10√2. Calculate the total surface area?

    The dimensions of a cubical box are in the ratio of 5:4:3.and the length of the diagonal is 10√2. Calculate the total surface area?

    Maths-General
    parallel
    General
    Maths-

    Calculate the amount of ice cream this cone can hold (just to the top of the cone). Round to the nearest hundredth.

    Calculate the amount of ice cream this cone can hold (just to the top of the cone). Round to the nearest hundredth.

    Maths-General
    General
    Maths-

    Given dimensions of the room are 24 cm in breadth, 30 cm in height and 18 cm in length. Find the length of the longest pole that can be placed in the room

    Given dimensions of the room are 24 cm in breadth, 30 cm in height and 18 cm in length. Find the length of the longest pole that can be placed in the room

    Maths-General
    General
    Maths-

    Mr. Quintero has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mr. Quintero's cup r = 3, h = 7

    Mr. Quintero has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mr. Quintero's cup r = 3, h = 7

    Maths-General
    parallel
    General
    Maths-

    Surface area of a cube is 443.76 cm2 . Find the volume of it?

    Surface area of a cube is 443.76 cm2 . Find the volume of it?

    Maths-General
    General
    Maths-

    Find the volume of the cone. Round decimals nearest tenth r = 14ft, h = 18 ft

    Find the volume of the cone. Round decimals nearest tenth r = 14ft, h = 18 ft

    Maths-General
    General
    Maths-

    The dimensions of a cuboid are in the ratio of 4:3:2 and its total surface area is 1300 cm2 . Find its length, breadth, and height respectively?

    The dimensions of a cuboid are in the ratio of 4:3:2 and its total surface area is 1300 cm2 . Find its length, breadth, and height respectively?

    Maths-General
    parallel
    General
    Maths-

    Find the volume of the cone. Round decimals nearest tenth. D = 12cm, h = 8 cm

    Find the volume of the cone. Round decimals nearest tenth. D = 12cm, h = 8 cm

    Maths-General
    General
    Maths-

    a squared minus 2 a b plus b squared equals

    a squared minus 2 a b plus b squared equals

    Maths-General
    General
    Maths-

    Find out the side of cube if the complete surface area is given to be 346.56 cm2.

    Find out the side of cube if the complete surface area is given to be 346.56 cm2.

    Maths-General
    parallel
    General
    Maths-

    Find the volume of the cone. Use 3.14 for π. Round decimal answers to the nearest tenth. r= 4 in, height = 4 in

    Find the volume of the cone. Use 3.14 for π. Round decimal answers to the nearest tenth. r= 4 in, height = 4 in

    Maths-General
    General
    Maths-

    Calculate the LSA of a cuboid of ,length = 40cm ,breadth = 20cm and height = 10cm.

    Calculate the LSA of a cuboid of ,length = 40cm ,breadth = 20cm and height = 10cm.

    Maths-General
    General
    Maths-

    The diameter of the ends of a bucket of height 24 cm are 42 cm and 14 cm
    respectively .Find the capacity of the bucket

    The diameter of the ends of a bucket of height 24 cm are 42 cm and 14 cm
    respectively .Find the capacity of the bucket

    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.