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A Sphere Is Inscribed In Where The Diameter Of The Sphere And Cylinder Are Equal And Height Of The Cylinder Is 2r.Find The Formula For The Volume Of T

A sphere is inscribed in where the diameter of the sphere and cylinder are equal and height of the cylinder is 2r.Find the formula for the volume of the sphere if it is 2/3 of the volume of the cylinder which is πr³h.   Answer: volume of the sphere is 4π/3 r^3 Step-by-step explanation: A SPHERE is a solid figure which is round, where the distance from every point on its surface to its center is equal called the RADIUS . One example of a sphere is a tennis ball. A cylinder on the other hand is another solid figure with a circular base and have a straight parallel sides. Basing on the problem, the sphere is inside the cylinder which radii are equal, and the height of the cylinder as twice its radius. In most problems, we can solve the VOLUME OF THE SPHERE using the formula Vsphere = (4/3)(π)(r^3) But since the problem states that the volume of the sphere is 2/3 of the volume of the cylinder which is also given, then all we have to do is multiply the volume of the cylinder by 2/3.
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Find The Volume Of The Triangular 6cm ,W=3cm And L=4cm

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Find the volume of the triangular 6cm ,w=3cm and L=4cm   Answer: The volume of the triangular prism is 36 cubic cm. Step-by-step explanation: Step 1: Write the given. Length (base of the triangle) is equal to 4 cm. Width (height of the triangle) is equal to 3 cm. Height of the triangular prism is equal to 6 cm. Step 2: Identify the formula that will be utilized. The general formula of the volume of a prism is (Area of base)(height) . Since the base is triangular, then we can solve for its area by using . Wherein there would be a need to split the triangular base into two right triangles. Where: height is equal to width and base is equal to the  half of the length. Since we did split the triangular base, the area that will be calculated shall be multiplied to two. After acquiring the base area, we can now proceed to the computation of the volume. Step 3: Find the area of the triangular base base is half of the base of the triangle ( base = 4/2) Area of one right triangle= (1/
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