# Geometry

A solid is composed of a cube with side length 6 meters and a hemisphere with diameter 6 meters. Find the volume of the solid.

1. 👍 0
2. 👎 0
3. 👁 774
1. V of cube = side*side*side = 6*6*6 = 216
V of hemisphere = 1/2 of V of sphere = 4/3*pi*radius cubed = 1/2(4/3(pi 3cubed))= 1/2(4/3(pi 27)= 1/2(36pi)= [18pi meters] or [56.52 meters]

1. 👍 0
2. 👎 5
2. A solid

1. 👍 0
2. 👎 1

## Similar Questions

1. ### Physics - Fluids

A cube of side length 11.0 cm and made of unknown material floats at the surface between water and oil. The oil has a density of 810 kg/m^3. a)If the cube floats so that it is 70% in the water and 30% in the oil, what is the mass

asked by Nik on April 25, 2008
2. ### MATH

A cube has a volume of 27 cubic units. What is the length of the side of the cube? I don't understand how to get the answer for this question!! Does it mean one side or all sides? I know that 27 / 4 = 6.75 but I don't understand

asked by kiana on March 29, 2017
3. ### maths

a cube has a volume of 27cm3 what is the length of one side of the cube

asked by molly on May 21, 2011
4. ### Math

A solid body consists of a cylinder surmounted by a hemisphere of the same radius. The total length of the body, measured along the central axis of cylinder, is 10cm. If the radius of the hemisphere is xcm,show that the volume

asked by Prince on October 22, 2017
1. ### physics

a 700g solid cube having an edge of length 10cm floats in water how much volume of the cube is outside the water?

asked by Jahnavi on October 20, 2016
2. ### Melanie

A right triangle has a hypotenuse of length 13 meters and one side of length 5 meters. What is the length of the third side and the angle between the hypotenuse and the 5 meter side? A. 144 meters, 67.38 degrees B. 12 meters,

asked by Physics on January 19, 2013

4. Mrs. Clarkson designed a rectangular garden with a length of 15 meters and a width of 8 meters. She plans to build a walkway through the garden from one corner to the next. What measure is closest to the length of the diagonal

4. ### math

a crystal in the shape of a cube is growing in a labatory. estimate the rate at which the surface area is changing with respect to the side length when the side length of the crystal is 3cm.

asked by navroz on September 21, 2011
1. ### Math--Volume and Surface Area

The volume of a cube is 125 cubic inches. Find the surface area. I know that the volume formula is V=Bh where v=volume, B=area of the base, and h=height. How do I get the surface area though? Also, The surface area of a cube is

asked by Emily on April 24, 2007
2. ### Algebra II

Two sides of a triangle are equal in length. The length of the third side is three meters less that the sum of the lengthsof the other two sides.Find the length of the longest side of the triangle if its perimeter is 29 meters.

asked by Lucy on October 23, 2007
3. ### maths

What is the maximum number of cubes with a side of length 1/3 that can fit inside a cube with a side of length 1 ? 1.3 2.9 3.18 4.27

asked by peter on August 11, 2014
4. ### algebra

Denise is designing a storage box in the shape of a cube. Each side of the box has a length of 10 inches. She needs more room and decides to construct a larger box in the shape of a cube with a volume of 2,000 cubic inches. By how

asked by amra on February 1, 2010