A sphere of radius 2cm has a mass of 11.2g, find its volume , it's density, and the mass of the sphere made of the same material with radius 3cm and properly explan along the way

Here's how to find the volume, density, and mass for the spheres. Given for the first sphere: Radius (r_1) = 2 cm Mass (m_1) = 11.2 g Given for the second sphere: Radius (r_2) = 3 cm Step 1: Calculate the volume of the first sphere. The formula for the volume of a sphere is V = (4)/(3) r^3. V_1 = (4)/(3) × × (2 cm)^3 V_1 = (4)/(3) × × 8 cm^3 V_1 = (32)/(3) cm^3 Using ≈ 3.14159: V_1 ≈ (32)/(3) × 3.14159 cm^3 V_1 ≈ 10.6667 × 3.14159 cm^3 V_1 ≈ 33.51 cm^3 The volume of the first sphere is 33.51 cm^3. Step 2: Calculate the density of the material. Density () is mass divided by volume ( = (m)/(V)). = (m_1)/(V_1) = 11.2 g33.51 cm^3 ≈ 0.3342 g/cm^3 The density of the material is 0.3342 g/cm^3. Step 3: Calculate the volume of the second sphere. The second sphere has a radius of 3 cm. V_2 = (4)/(3) × × (3 cm)^3 V_2 = (4)/(3) × × 27 cm^3 V_2 = 4 × × 9 cm^3 V_2 = 36 cm^3 Using ≈ 3.14159: V_2 ≈ 36 × 3.14159 cm^3 V_2 ≈ 113.10 cm^3 The volume of the second sphere is 113.10 cm^3. Step 4: Calculate the mass of the second sphere. Since the second sphere is made of the same material, it has the same density (). Mass (m_2) = Density () × Volume (V_2). m_2 = 0.3342 g/cm^3 × 113.10 cm^3 m_2 ≈ 37.80 g The mass of the second sphere is 37.80 g. Send me the next one 📸