Question
A sculpture is formed from a cylinder resting on top of a cuboid. The cylinder has radius 15 cm and height 40 cm. The cuboid measures 30 cm by 30 cm by 80 cm. The sculpture is made of steel. The steel has a density of 8.05g/cm^3 Calculate the total mass of the sculpture in tonnes. square square Answer tonnes
Answer
4.3
(311 Votes)
Prudence
Expert · Tutor for 3 years
Answer
{mass=Cylinder_volume*Cylinder_Density+Cuboids_volume*Cuboid_Density=}
Explanation
In the initial matter, the complete volume of the sculpture is imposed of the sum of the volumes of the cylinder and the cuboid, so first, we will calculate the volume individually and then sum up. The steel density is also given so mass can be concluded by using the fundamental formula of the density; Density = Mass / Volume For calculating the volume of the Cylinder and Cuboid, the formula for the same should be met;The Cylinder Volume Formula is π*r²*h where in this case, r=15cm, h=40cm. After plugging these values into the formula you can find the volume.Similarly formula for the volume of the cuboid is l*b*h where l,b,h = 30 cm, 30 cm, 80 cm respectively. follow the same process for finding the volume of cuboid-The sum of both volumes now gives the complete volume of sculpture. From this total volume, we calculate mass using known steel density.Multiple the Density=8.05 g/cm³ with the complete volume to have the mass in grams. As we have to represent the overall mass in tonnes, translated the grams to tonnes by dividing by 1000(converting grams to kg) and further (converting kilo grams into tons) which gives the total mass of a scultpture in tonnes